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Trigonometry Functions

Trigonometry Functions. Pythagorean Theorem (Works only if you have a right triangle). Find the length of b if a = 4 and c =7. A. c. b. B. a. C. Law of Sines. B. c. a. A. C. b. c sin C. a sin A. b sin B. =. =. Law of Cosines. The Law of Cosines

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Trigonometry Functions

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  1. Trigonometry Functions

  2. Pythagorean Theorem(Works only if you have a right triangle) Find the length of b if a = 4 and c =7.

  3. A c b B a C

  4. Law of Sines B c a A C b c sin C a sin A b sin B = =

  5. Law of Cosines The Law of Cosines In any triangle ABC, with sides a, b, and c,

  6. Examples 1. An archaeologist climbs the Great Pyramid in Giza. The pyramid’s height is 136 cm and its width 230. m, what is the magnitude and the direction of the archaeologist’s displacement while climbing from the bottom of the pyramid to the top?

  7. 2. While following the direction on a treasure map, a pirate walks 45.0 m north, then turns and walks 7.5 m east. What single straight-line displacement could the pirate have taken to reach the treasure?

  8. Trigonometry Functions *Must have right triangles

  9. Two Must-know Triangles (1) sin 30˚ = cos 60˚ = (2) tan 45˚= sin 45˚=

  10. Inverse Trig Functions(Allow to find the angles) *Look for arcsin, arccos, arctan keys.

  11. Examples Find the angle. • sin-1 0.5 (30˚) • tan-1 1 (45˚) • cos-1 0.8 (36.9˚) • sin-1 0.8 (53.1˚)

  12. Examples 1. Find the component velocities (vx & vy) of a helicopter traveling 95 km/h at an angle of 35˚ to the ground.

  13. 2. What are the horizontal and vertical components of our cat Bebe’s displacement when it is climbing 5 m directly up a tree?

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