Trigonometric Ratio Ex.11G - 2

Trigonometric Ratio Ex.11G - 2 - N ame :...

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Unformatted text preview: N ame : __________________( ) Date : __________________ Class : ____________ Score : ____________ In this exercise, do not use a calculator. Leave the answer with surd form if necessary. Prove the following identities (1-4) 1. 1 − cos 2 θ ≡ sin θ sin θ 2. sin θ cos θ ≡ 1 − sin 2 θ tan θ 3. (1 − sin θ )(1 + sin θ ) ≡ cos 2 θ 4. (sin θ + cos θ ) 2 ≡ 1 + 2 sin θ cos θ 5. Given sin θ = 8 15 and cos θ = 17 17 6. Given sin θ = Find the value of tan θ 7. Given sin θ = 1 3 3 and tan θ = 3 2 Find the value of cos θ 8. Given cos θ = 0.8 Find the value of 4 + cos 2 θ Find the value of sin θ tan θ Simplify the following(9-14) 9. (1 − cos A)(1 + cos A) 1 − cos 2 A 11. sin A tan A 13. (sin θ + cos θ ) 2 − 1 tan θ 10. sin B cos 2 B + sin 3 B − sin B 12. 1 −1 sin 2 θ 14. sin θ + sin θ tan 2 θ ...
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Trigonometric Ratio Ex.11G - 2 - N ame :...

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