write in terms of sin and cos

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November 2nd 2008, 12:05 PM
fotzefotze

write in terms of sin and cos

write in terms of sinθ and cosθ

cscθ - sinθcot^2θ

thanks so much. I keep getting different answers
November 2nd 2008, 12:32 PM
Soroban

Hello, fotzefotze!

Quote:

Write in terms of $\sin\theta\text{ and }\cos\theta$

. . $\csc\theta - \sin\theta\cot^2\!\theta$

We have: . $\frac{1}{\sin\theta} - \sin\theta\!\cdot\!\frac{\cos^2\!\theta}{\sin^2\!\ theta} \;=\;\frac{1}{\sin\theta} - \frac{\cos^2\!\theta}{\sin\theta} \;=\;\frac{1-\cos^2\!\theta}{\sin\theta} \;=\;\frac{\sin^2\!\theta}{\sin\theta} \;=\;\sin\theta$

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