What is $\frac{3 cot θ}{2}$ $(3cottheta)/2$ in terms of $cos θ$ $costheta$ ?

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Answer 1 · 2016-03-24T01:15:51

For this problem, the identity $cot θ = \frac{cos θ}{sin θ}$ $cottheta = costheta/sintheta$ is vital.

$\frac{3 (\frac{cos θ}{sin θ})}{2}$ $(3(costheta/sintheta))/2$

= $\frac{3 cos θ}{2 sin θ}$ $(3costheta)/(2sintheta)$

I think this is as simplified as it gets; unfortunately, I don't think there's a way to get rid of the sin.

Hopefully this helps!

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