# write in terms of sin and cos

• November 2nd 2008, 12:05 PM
fotzefotze
write in terms of sin and cos
write in terms of sinθ and cosθ

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