Trig Identity Homework due 5-7-14 (MRS22-3) or 5-8-14 (MRS22-1)

Prove each identity.

1. \frac{\cot\theta}{\csc\theta}=\cos\theta

2. \cos^{2}x\tan^{2}x=\sin^{2}x

3. \frac{1-\sin^{2}\beta}{\cos\beta}=\cos\beta

4. \frac{\tan^{2}\alpha+1}{\sec\alpha}=\sec\alpha

5. 1-\csc{x}\sin^{3}x=\cos^{2}x

6. \cos^{2}\theta(\tan^{2}\theta+1)=1

7. \sin^{2}\beta(1+\cot^{2}\beta)=1

8. \cot\theta+\tan\theta=\csc\theta\sec\theta

9. \sin^{2}\alpha+\tan^{2}\alpha+\cos^{2}\alpha=\sec^2\alpha

10. 1+\csc^{2}x\cos^{2}x=\csc^{2}x

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