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9.9: Introduction to Trigonometry

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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  1. 9.9: Introduction to Trigonometry

  2. 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 = ____________

  3. Example 1 • Find each ratio sin A = cos A = tan A = sin B = cos B = tan B = A 25 7 C B 24

  4. Example 2 • Find each ratio sin 30 = cos 30 = tan 30 = sin 60 = cos 60 = tan 60 = 30∘

  5. Example 3 • Find each ratio sin 45 = cos 45 = tan 45 = 45∘

  6. Example 4 • Given: ▭EXPO, EX = 8, EO = 6 • Find: sin ∠XEP E 8 X 6 O P

  7. Example 5 • If tan ∠W = √3, find m∠W

  8. Example 6 • Given: sin ∠S= 5/13 • Find: cos ∠S A 10 U S

  9. Homework • p. 420 1-4, 8-13

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