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PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1
For more news and updates visit pakturkmaths.com
CLASS
XI
For any question mail us at info@pakturkmaths.com
Composed by Engin Baştürk FEDERAL BOARD
TYPE Objective Trigonometric Identities No 6
Q1: cot :
2

A)
1 sin
sin



 B)
1 cos
cos




C)
1 cos
cos



 D)
1 sin
sin




Q2: sin3 :
A) 3
3sin 4sin  B) 3
3sin sin 
C) 3
4sin sin  D) 3
4sin 3sin 
Q3: cos3 :
A) 3
4cos 3cos  B) 3
3cos 4cos 
C) 3
4cos 3cos  D) 3
3cos 4cos 
Q4: tan3 :
A)
3
2
tan 3tan
1 3tan
 



B)
3
2
tan 3tan
3 tan
 



C)
3
2
3tan tan
3 tan
 



D)
3
2
3tan tan
1 3tan
 



Q5: 2sin cos : 
A)    sin sin      B)    sin sin     
C)    cos cos      D)    cos cos     
Q6: 2cos sin ............  
A)    sin sin      B)    sin sin     
C) D)    cos cos     
Q7: 2cos cos ............  
A)    sin sin      B)    sin sin     
C)    cos cos      D)    cos cos     
Q8: 2sin sin ............  
A)    sin sin      B)    sin sin     
C)    cos cos      D)    cos cos     
Q9: sin sin :A B
A) 2sin cos
2 2
A B A B 
B) 2cos sin
2 2
A B A B 
C) 2cos cos
2 2
A B A B 
D) 2sin sin
2 2
A B A B 

Q10: sin sin :A B
A) 2sin cos
2 2
A B A B 
B) 2cos sin
2 2
A B A B 
C) 2cos cos
2 2
A B A B 
D) 2sin sin
2 2
A B A B 

PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: cos cos :A B
A) 2sin cos
2 2
A B A B 
B) 2cos sin
2 2
A B A B 
C) 2cos cos
2 2
A B A B 
D) 2sin sin
2 2
A B A B 

Q12: cos cos :A B
A) 2sin cos
2 2
A B A B 
B) 2cos sin
2 2
A B A B 
C) 2cos cos
2 2
A B A B 
D) 2sin sin
2 2
A B A B 

Q13: 2 2
sin cos ?
2 2
x x
 
A)
1
2
B) 2 C) 1 D) x
Q14: 2sin cos ?
2 2
x x

A) sin2x B) cos2x C) sin x D) cos x
Q15: 2 sin15 cos15 ?
A)
3 1
2

B)
3 1
2

C)
3
2
D)
1
2
Q16: 2 2
cos 15 sin 15 ? 
A)
3 1
2

B)
3 1
2

C)
3
2
D)
1
2
Q17:
sin
sin 2 ?
cos
x a
x
x b
 
 
A) ab B) a b C) 2ab D)
a
b
Q18:
2 2
cos sin
?
2sin cos
x x
x x


A) tan2x B) tan x C) cot 2x D) cot x
Q19:
2
?
sec cscx x

A) sin2x B) cos2x C) sin x D) cos x
Q20: sin15 sin30 sin70 (cos20 cos75 ?    
A)
2
3
B)
1
4
C)
3
2
D)
1
2
Answer Key
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20

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Hssc i objective ch 10 no 6

  • 1. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1 For more news and updates visit pakturkmaths.com CLASS XI For any question mail us at info@pakturkmaths.com Composed by Engin Baştürk FEDERAL BOARD TYPE Objective Trigonometric Identities No 6 Q1: cot : 2  A) 1 sin sin     B) 1 cos cos     C) 1 cos cos     D) 1 sin sin     Q2: sin3 : A) 3 3sin 4sin  B) 3 3sin sin  C) 3 4sin sin  D) 3 4sin 3sin  Q3: cos3 : A) 3 4cos 3cos  B) 3 3cos 4cos  C) 3 4cos 3cos  D) 3 3cos 4cos  Q4: tan3 : A) 3 2 tan 3tan 1 3tan      B) 3 2 tan 3tan 3 tan      C) 3 2 3tan tan 3 tan      D) 3 2 3tan tan 1 3tan      Q5: 2sin cos :  A)    sin sin      B)    sin sin      C)    cos cos      D)    cos cos      Q6: 2cos sin ............   A)    sin sin      B)    sin sin      C) D)    cos cos      Q7: 2cos cos ............   A)    sin sin      B)    sin sin      C)    cos cos      D)    cos cos      Q8: 2sin sin ............   A)    sin sin      B)    sin sin      C)    cos cos      D)    cos cos      Q9: sin sin :A B A) 2sin cos 2 2 A B A B  B) 2cos sin 2 2 A B A B  C) 2cos cos 2 2 A B A B  D) 2sin sin 2 2 A B A B   Q10: sin sin :A B A) 2sin cos 2 2 A B A B  B) 2cos sin 2 2 A B A B  C) 2cos cos 2 2 A B A B  D) 2sin sin 2 2 A B A B  
  • 2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2 Q11: cos cos :A B A) 2sin cos 2 2 A B A B  B) 2cos sin 2 2 A B A B  C) 2cos cos 2 2 A B A B  D) 2sin sin 2 2 A B A B   Q12: cos cos :A B A) 2sin cos 2 2 A B A B  B) 2cos sin 2 2 A B A B  C) 2cos cos 2 2 A B A B  D) 2sin sin 2 2 A B A B   Q13: 2 2 sin cos ? 2 2 x x   A) 1 2 B) 2 C) 1 D) x Q14: 2sin cos ? 2 2 x x  A) sin2x B) cos2x C) sin x D) cos x Q15: 2 sin15 cos15 ? A) 3 1 2  B) 3 1 2  C) 3 2 D) 1 2 Q16: 2 2 cos 15 sin 15 ?  A) 3 1 2  B) 3 1 2  C) 3 2 D) 1 2 Q17: sin sin 2 ? cos x a x x b     A) ab B) a b C) 2ab D) a b Q18: 2 2 cos sin ? 2sin cos x x x x   A) tan2x B) tan x C) cot 2x D) cot x Q19: 2 ? sec cscx x  A) sin2x B) cos2x C) sin x D) cos x Q20: sin15 sin30 sin70 (cos20 cos75 ?     A) 2 3 B) 1 4 C) 3 2 D) 1 2 Answer Key 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20