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Trigonometry

 By Amreet Nayak
What is Trigonometry?
 Trigonometry is divided into two parts the first part of the word is trigon which
  in Greek means triangle. The second part of the word is metry which means to
  measure. So that, of course makes this word mean to measure triangles.
  (Measuring sides and angles)
 Until about the 16th century, trigonometry was chiefly concerned with
  computing the numerical values of the missing parts of a triangle (or any shape
  that can be dissected into triangles) when the values of other parts were given.
  For example, if the lengths of two sides of a triangle and the measure of the
  enclosed angle are known, the third side and the two remaining angles can be
  calculated. Such calculations distinguish trigonometry from geometry, which
  mainly investigates qualitative relations.
Trigonometry History
 Trigonometry was first invented by the Greeks in 150 BC. It was first used
  by Hipparchus, who was a Greek astrologer, astronomer, geographer, and
  mathematician of the Hellenistic period. Hipparchus was born in turkey and
  then died on the island of Rhodes. He is known to have been working as an
  astronomer from at least 162 BC to 127 BC.
 Cosine and sine was introduces by the Greeks. Later on the Chinese
  introduced Tangent. Then a long time later Secant, Cosecant, and Cotangent
  was introduced. Until about the 16th century, trigonometry was chiefly
  concerned with computing the numerical values of the missing parts of a
  triangle (or any shape that can be dissected into triangles) when the values of
  other parts were given.
Which side is which?


                                           Adjacent


 The adjacent is the side that touches both the right angle and the
  angle that is being concentrated on.
Which side is which?


                                       Hypotenuse


 The hypotenuse side is the side that only touches the angle that is
  being concentrated on. It also looks like the longest side.
Which side is which?


                                               Opposite


 The last side is called the opposite side, it only touches the right
  angle, not the angle that is being concentrated on.
Trigonometry Functions
There are 6 trigonometry functions and they are:
 Sin-Sine
 Cos-Cosine
 Tan-Tangent
 Sec-Secant
 Csc-Cosecant
 Cot-Cotangent



There is another was to remember Sin, Cos and Tan, and the way is SohCahToa.
Trigonometry Song
 Now we are going to listen to a song about Trigonometry on youtube.




              Trigonometry Y all
Okay now let’s take the




      QUIZ!
The six people
that get it right
will get stickers.
Which side is which?


                                               2. What is this side called?

1. What is this side
called?




                       3. What is this side called?
Class Quiz

   4. What ratio should be used to calculate ϴ?




   5. What ratio should be used to calculate ϴ?




   6.What ratio should be used to calculate ϴ?
 
Bibliography
 http://en.wikipedia.org/wiki/Trigonometry
 http://www.youtube.com/watch?v=eFQ6hpwQugc
 http://www.proprofs.com/quiz-school/quizshow.php?
  title=trigonometry-calculating-unknown-
  angles&quesnum=2&showNextQ=no
 http://www.Google/Images.com
Thank You for watching my
presentation

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Trigonometry Basics Explained

  • 2. What is Trigonometry?  Trigonometry is divided into two parts the first part of the word is trigon which in Greek means triangle. The second part of the word is metry which means to measure. So that, of course makes this word mean to measure triangles. (Measuring sides and angles)  Until about the 16th century, trigonometry was chiefly concerned with computing the numerical values of the missing parts of a triangle (or any shape that can be dissected into triangles) when the values of other parts were given. For example, if the lengths of two sides of a triangle and the measure of the enclosed angle are known, the third side and the two remaining angles can be calculated. Such calculations distinguish trigonometry from geometry, which mainly investigates qualitative relations.
  • 3. Trigonometry History  Trigonometry was first invented by the Greeks in 150 BC. It was first used by Hipparchus, who was a Greek astrologer, astronomer, geographer, and mathematician of the Hellenistic period. Hipparchus was born in turkey and then died on the island of Rhodes. He is known to have been working as an astronomer from at least 162 BC to 127 BC.  Cosine and sine was introduces by the Greeks. Later on the Chinese introduced Tangent. Then a long time later Secant, Cosecant, and Cotangent was introduced. Until about the 16th century, trigonometry was chiefly concerned with computing the numerical values of the missing parts of a triangle (or any shape that can be dissected into triangles) when the values of other parts were given.
  • 4. Which side is which? Adjacent  The adjacent is the side that touches both the right angle and the angle that is being concentrated on.
  • 5. Which side is which? Hypotenuse  The hypotenuse side is the side that only touches the angle that is being concentrated on. It also looks like the longest side.
  • 6. Which side is which? Opposite  The last side is called the opposite side, it only touches the right angle, not the angle that is being concentrated on.
  • 7. Trigonometry Functions There are 6 trigonometry functions and they are:  Sin-Sine  Cos-Cosine  Tan-Tangent  Sec-Secant  Csc-Cosecant  Cot-Cotangent There is another was to remember Sin, Cos and Tan, and the way is SohCahToa.
  • 8. Trigonometry Song  Now we are going to listen to a song about Trigonometry on youtube. Trigonometry Y all
  • 9. Okay now let’s take the QUIZ!
  • 10. The six people that get it right will get stickers.
  • 11. Which side is which? 2. What is this side called? 1. What is this side called? 3. What is this side called?
  • 12. Class Quiz  4. What ratio should be used to calculate ϴ?  5. What ratio should be used to calculate ϴ?  6.What ratio should be used to calculate ϴ?  
  • 13. Bibliography  http://en.wikipedia.org/wiki/Trigonometry  http://www.youtube.com/watch?v=eFQ6hpwQugc  http://www.proprofs.com/quiz-school/quizshow.php? title=trigonometry-calculating-unknown- angles&quesnum=2&showNextQ=no  http://www.Google/Images.com
  • 14. Thank You for watching my presentation

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