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R IGHT T RIANGLE T RIG & V ECTOR M ATH Unit 2 (Chapter 1 in Cutnell book.)

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Presentation on theme: "R IGHT T RIANGLE T RIG & V ECTOR M ATH Unit 2 (Chapter 1 in Cutnell book.)"— Presentation transcript:

1 R IGHT T RIANGLE T RIG & V ECTOR M ATH Unit 2 (Chapter 1 in Cutnell book.)

2 R IGHT T RIANGLES c = hypotenuse Pythagorean theorem: a 2 + b 2 = c 2 a b c Knowing 2 legs of a right triangle, you can calculate the third leg using the Pythagorean Theorem.

3 R IGHT T RIANGLE T RIG a b c Trigonometric functions are ratios of a pair of sides of a right triangle, and depend only on one of the angles, Ɵ Ɵ

4 S OH -C AH - TOA a b c You can only label the sides AFTER you have identified the angle! Ɵ

5 I NVERSE T RIG F UNCTIONS a b c When two sides of the triangle are known, and the angle Ɵ is unknown, use inverse Trig Functions. Ɵ

6 E XAMPLE 1 Find: sin Ɵ cosƟ Ɵ Ɵ 6 8

7 E XAMPLE 2 A chimp sitting against his favorite tree gets up and walks 51m due east and 39m due south to reach a termite mound. A)what is the shortest distance between the tree and the termite mound? B) What angle does the shortest distance make with respect to due east?

8 H OMEWORK Trig WS for Physics Due tomorrow! This WS will be graded for correctness. 1 point for drawing a picture, 1 point for showing work, 1 point for correct answer.


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