Amreet trig proj

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Transcript

  • 1. Trigonometry By Amreet Nayak
  • 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 FunctionsThere are 6 trigonometry functions and they are: Sin-Sine Cos-Cosine Tan-Tangent Sec-Secant Csc-Cosecant Cot-CotangentThere 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 peoplethat get it rightwill get stickers.
  • 11. Which side is which? 2. What is this side called?1. What is this sidecalled? 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 mypresentation