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Kuta Software - Infinite Algebra 1                                                                                                              Name___________________________________

                         Finding Trigonometric Ratios                                                                                                                                     Date________________ Period____

                         Find the value of each trigonometric ratio to the nearest ten-thousandth.

                         1) tan A                                                                                                                               2) cos C

                                                              C                                                                                                                       A

                                                                                                                                                                           15
                                                                                                                                                                                      9
                                            34                   30
                                                                                                                                                                     C      12        B

                                   A             16              B




                         3) sin Z                                                                                                                               4) sin C

                                                                             X                                                                                                        A

                                                     20                                                                                                                    50
                                                                               12                                                                                                     30

                                   Z                     16                   Y                                                                                      C      40        B




                         5) sin C                                                                                                                               6) sin Z

                                                       A                                                                                                                                     X
                                                                                                                                                                                 50
                                                                                                                                                                                              14
                                                                                                                                                                     Z                        Y
                                                                                                                                                                                 48
                                         50               48




                                   C         14           B




                         7) cos A                                                                                                                               8) cos X

                                                                   C                                                                                                                  Z

                                                                                                                                                                           30
                                                 5                                                                                                                                    18
                                                                     4

                                                                                                                                                                     X      24        Y
                                   A                 3               B




©n m2f0D1E1N xKmurtxaV hSIoyfXt1wLaPr2ec mLCLoC2.M 3 iAYlrlX ErFixgihxt3sF irUeRsGeHrfvfeJdD.3 i MMsaWdGeW TwOittOhR fIkn7f5iznvi6tXeT IAzlBgPeobur1a3 r1i.u   -1-                                               Worksheet by Kuta Software LLC
9) cos A                                                                                                                               10) cos Z

                                                       B                                                                                                              Y         20
                                                                                                                                                                                              X
                                          27                            36
                                                                                                                                                                     15
                                                                                                                                                                                    25
                                   C                         45                          A
                                                                                                                                                                      Z




                         11) sin Z                                                                                                                              12) sin C

                                                                                 X                                                                                   B          36
                                                                                                                                                                                              A
                                                         30
                                                                                   18                                                                                27
                                                                                                                                                                                    45

                                       Z                     24                   Y                                                                                   C




                         13) cos X                                                                                                                              14) tan A

                                            Z                                                                                                                                  B

                                                                                                                                                                          30             40

                                       15                    17
                                                                                                                                                                     C              50            A



                                          Y              8             X




                         15) tan X                                                                                                                              16) tan X

                                          Y                   24                                                                                                         X
                                                                                     Z

                                       18                                                                                                                                       25
                                                                 30                                                                                                  20

                                           X
                                                                                                                                                                      Y        15        Z




                         Use a calculator to find the value of each to the nearest ten-thousandth.

                         17) sin 21°                                                                                                                            18) tan 22°



                         19) cos 20°                                                                                                                            20) sin 77°



                         21) tan 17°                                                                                                                            22) cos 87°




©1 H2o0w1i13 BKSu5tca3 ISDoMfktiwYayrbe5 6LTLGCU.N y wAGlUla xrji0gzhptds9 krUejsEeKrAvVe5dB.O 6 BMGaidjeY Pwtixt4hf iIcnrfIijnjiRtPe4 3AylWg8e1b4rOap a1d.x   -2-                                    Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1                                                                                                              Name___________________________________

                         Finding Trigonometric Ratios                                                                                                                                      Date________________ Period____

                         Find the value of each trigonometric ratio to the nearest ten-thousandth.

                         1) tan A                                                                                                                               2) cos C

                                                              C                                                                                                                        A

                                                                                                                                                                            15
                                                                                                                                                                                       9
                                            34                   30
                                                                                                                                                                     C       12        B

                                   A
                                                                                                                                                                         0.8000
                                                 16             B

                                        1.8750

                         3) sin Z                                                                                                                               4) sin C

                                                                             X                                                                                                         A

                                                     20                                                                                                                     50
                                                                              12                                                                                                       30

                                   Z                     16                   Y                                                                                      C       40        B

                                        0.6000                                                                                                                           0.6000

                         5) sin C                                                                                                                               6) sin Z

                                                       A                                                                                                                                      X
                                                                                                                                                                                  50
                                                                                                                                                                                               14
                                                                                                                                                                     Z                         Y
                                                                                                                                                                                  48
                                         50               48
                                                                                                                                                                         0.2800


                                   C         14           B

                                        0.9600

                         7) cos A                                                                                                                               8) cos X

                                                                   C                                                                                                                   Z

                                                                                                                                                                            30
                                                 5                                                                                                                                     18
                                                                     4

                                                                                                                                                                     X       24        Y
                                   A                 3               B                                                                                                   0.8000
                                        0.6000




©o v2X0t1m15 MKHuttjaD wSfoTfhtOwYalrLea VLULACj.d s kAklplr Erii9g6hltbs6 DroeDsseHrjvDebdU.5 9 EMNaCdYet pwkiitahy 2ITnQfzi4nzi9tDeN OAKlAg8eJbhrgaD z1R.h   -1-                                                Worksheet by Kuta Software LLC
9) cos A                                                                                                                               10) cos Z

                                                       B                                                                                                              Y         20
                                                                                                                                                                                              X
                                         27                            36
                                                                                                                                                                     15
                                                                                                                                                                                    25
                                   C                        45                          A
                                                                                                                                                                      Z
                                        0.8000
                                                                                                                                                                     0.6000

                         11) sin Z                                                                                                                              12) sin C

                                                                                X                                                                                    B          36
                                                                                                                                                                                              A
                                                        30
                                                                                  18                                                                                 27
                                                                                                                                                                                    45

                                       Z                    24                    Y                                                                                   C

                                        0.6000                                                                                                                       0.8000

                         13) cos X                                                                                                                              14) tan A

                                           Z                                                                                                                                   B

                                                                                                                                                                          30             40

                                       15                   17
                                                                                                                                                                     C              50            A

                                                                                                                                                                     0.7500
                                          Y             8              X

                                        0.4706

                         15) tan X                                                                                                                              16) tan X

                                          Y                  24                                                                                                          X
                                                                                    Z

                                       18                                                                                                                                       25
                                                                30                                                                                                   20

                                           X
                                                                                                                                                                      Y        15        Z
                                        1.3333
                                                                                                                                                                     0.7500

                         Use a calculator to find the value of each to the nearest ten-thousandth.

                         17) sin 21°                                                                                                                            18) tan 22°
                                        0.3584                                                                                                                       0.4040

                         19) cos 20°                                                                                                                            20) sin 77°
                                        0.9397                                                                                                                       0.9744

                         21) tan 17°                                                                                                                            22) cos 87°
                                        0.3057                                                                                                                       0.0523
                                         Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com


©0 P2x0F151P BKCuUtHaa US8oPfRtcwCarrIeQ BL3LRCP.T Z WAxlqlv lrgiJgZhZt0sD 1r1elspejrBvEeldH.w N wMYahd4eo NwTiatwhX 5IfnLfji9n2iWtEev sAXlwgXefbZrPaS t1D.G   -2-                                    Worksheet by Kuta Software LLC

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Finding%20 trigonometric%20ratios

  • 1. Kuta Software - Infinite Algebra 1 Name___________________________________ Finding Trigonometric Ratios Date________________ Period____ Find the value of each trigonometric ratio to the nearest ten-thousandth. 1) tan A 2) cos C C A 15 9 34 30 C 12 B A 16 B 3) sin Z 4) sin C X A 20 50 12 30 Z 16 Y C 40 B 5) sin C 6) sin Z A X 50 14 Z Y 48 50 48 C 14 B 7) cos A 8) cos X C Z 30 5 18 4 X 24 Y A 3 B ©n m2f0D1E1N xKmurtxaV hSIoyfXt1wLaPr2ec mLCLoC2.M 3 iAYlrlX ErFixgihxt3sF irUeRsGeHrfvfeJdD.3 i MMsaWdGeW TwOittOhR fIkn7f5iznvi6tXeT IAzlBgPeobur1a3 r1i.u -1- Worksheet by Kuta Software LLC
  • 2. 9) cos A 10) cos Z B Y 20 X 27 36 15 25 C 45 A Z 11) sin Z 12) sin C X B 36 A 30 18 27 45 Z 24 Y C 13) cos X 14) tan A Z B 30 40 15 17 C 50 A Y 8 X 15) tan X 16) tan X Y 24 X Z 18 25 30 20 X Y 15 Z Use a calculator to find the value of each to the nearest ten-thousandth. 17) sin 21° 18) tan 22° 19) cos 20° 20) sin 77° 21) tan 17° 22) cos 87° ©1 H2o0w1i13 BKSu5tca3 ISDoMfktiwYayrbe5 6LTLGCU.N y wAGlUla xrji0gzhptds9 krUejsEeKrAvVe5dB.O 6 BMGaidjeY Pwtixt4hf iIcnrfIijnjiRtPe4 3AylWg8e1b4rOap a1d.x -2- Worksheet by Kuta Software LLC
  • 3. Kuta Software - Infinite Algebra 1 Name___________________________________ Finding Trigonometric Ratios Date________________ Period____ Find the value of each trigonometric ratio to the nearest ten-thousandth. 1) tan A 2) cos C C A 15 9 34 30 C 12 B A 0.8000 16 B 1.8750 3) sin Z 4) sin C X A 20 50 12 30 Z 16 Y C 40 B 0.6000 0.6000 5) sin C 6) sin Z A X 50 14 Z Y 48 50 48 0.2800 C 14 B 0.9600 7) cos A 8) cos X C Z 30 5 18 4 X 24 Y A 3 B 0.8000 0.6000 ©o v2X0t1m15 MKHuttjaD wSfoTfhtOwYalrLea VLULACj.d s kAklplr Erii9g6hltbs6 DroeDsseHrjvDebdU.5 9 EMNaCdYet pwkiitahy 2ITnQfzi4nzi9tDeN OAKlAg8eJbhrgaD z1R.h -1- Worksheet by Kuta Software LLC
  • 4. 9) cos A 10) cos Z B Y 20 X 27 36 15 25 C 45 A Z 0.8000 0.6000 11) sin Z 12) sin C X B 36 A 30 18 27 45 Z 24 Y C 0.6000 0.8000 13) cos X 14) tan A Z B 30 40 15 17 C 50 A 0.7500 Y 8 X 0.4706 15) tan X 16) tan X Y 24 X Z 18 25 30 20 X Y 15 Z 1.3333 0.7500 Use a calculator to find the value of each to the nearest ten-thousandth. 17) sin 21° 18) tan 22° 0.3584 0.4040 19) cos 20° 20) sin 77° 0.9397 0.9744 21) tan 17° 22) cos 87° 0.3057 0.0523 Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com ©0 P2x0F151P BKCuUtHaa US8oPfRtcwCarrIeQ BL3LRCP.T Z WAxlqlv lrgiJgZhZt0sD 1r1elspejrBvEeldH.w N wMYahd4eo NwTiatwhX 5IfnLfji9n2iWtEev sAXlwgXefbZrPaS t1D.G -2- Worksheet by Kuta Software LLC