Question

cosθ=2/3 and sinθ>0,find cotθ

Answer 1

Since both sine and cosine are positive, it must be in the first quadrant.

Answer 2

thanks I agree but what would cotθ be?

Answer 3

You need to find \(\sin(\theta)\) first.

Answer 4

Use \[
\cos^2\theta + \sin^2\theta = 1
\]

Answer 5

cos^ θ+sin^2 θ=1 is the formula but I'm lost.

Answer 6

Well you know \(\cos \theta = 2/3\) so plug that in.

Answer 7

\[
\frac 49+\sin^2\theta = 1
\]

Answer 8

Find \(\sin \theta\) and remember that \(\cot\theta = \cos\theta/\sin\theta\)