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9.9: Introduction to Trigonometry

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9.9: Introduction to Trigonometry. Trig ratios. The three basic trigonometric ratios are sine , cosine , and tangent . Each of these is the ratio of two specific sides of a right triangle . SOH – CAH - TOA. sin A = ____________. cos A = ____________. tan A = ____________. Example 1.

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trig ratios
Trig ratios
  • The three basic trigonometric ratios are sine, cosine, and tangent. Each of these is the ratio of two specific sides of a right triangle.
  • SOH – CAH - TOA

sin A = ____________

cos A = ____________

tan A = ____________

example 1
Example 1
  • Find each ratio

sin A =

cos A =

tan A =

sin B =

cos B =

tan B =

A

25

7

C

B

24

example 2
Example 2
  • Find each ratio

sin 30 =

cos 30 =

tan 30 =

sin 60 =

cos 60 =

tan 60 =

30∘

example 3
Example 3
  • Find each ratio

sin 45 =

cos 45 =

tan 45 =

45∘

example 4
Example 4
  • Given: ▭EXPO, EX = 8, EO = 6
  • Find: sin ∠XEP

E

8

X

6

O

P

example 5
Example 5
  • If tan ∠W = √3, find m∠W
example 6
Example 6
  • Given: sin ∠S= 5/13
  • Find: cos ∠S

A

10

U

S

homework
Homework
  • p. 420 1-4, 8-13