# Math Help - write in terms of sin and cos

1. ## 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

2. Hello, fotzefotze!

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

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

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