Question

"Write each of the following in terms of sin(theta) and cos (theta) then simplify if possible. ..."
Sin(theta)cot(theta)+cos(theta)

Answer 1

Do you mean,
\[\sin\theta\cos\theta+\cos\theta=\cos\theta(\sin\theta+1)\]

Answer 2

No, my worksheet says \[\sin \theta \cot \theta + \cos \theta \]

Answer 3

\[\sin\theta\cot\theta+\cos\theta=\sin\theta\frac{\cos\theta}{\sin\theta}+\cos\theta=2\cos\theta\]

Answer 4

Yes but how did get to cos(theta) ? I need to look at it step by step?

Answer 5

Well, the definition of
\[\cot\theta\]is
\[\cot\theta=\frac{1}{\tan\theta}\frac{1}{\sin\theta/\cos\theta}=\frac{\cos\theta}{\sin\theta}\]

Answer 6

There must be an equal between the second and the third fraction I wrote. Sorry.

Answer 7

I worked mine different :/