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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9.9: Introduction to Trigonometry

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9 9 introduction to trigonometry

9.9: Introduction to Trigonometry


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


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