How do you simplify the expression $\frac{cot θ}{csc θ}$ $cottheta/csctheta$ ?

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Answer 1 · 2016-08-09T16:34:07

$cos θ$ $cos theta$

Since $cot θ = \frac{cos θ}{sin θ}$ $cot theta=cos theta/sin theta$

and $csc θ = \frac{1}{sin θ}$ $csc theta= 1/sin theta$ , then

$cot theta/csc theta = (cos theta/cancelsin theta)/(1/cancelsin theta)=cos theta and sin theta!=0$

How do you simplify the expression cottheta/cscthetacotθcscθcottheta/csctheta?