How do you simplify $(cos theta csc theta)/tantheta$ ?

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Answer 1 · 2015-07-28T13:02:23

Use the following:
$csctheta=1/sintheta$

$tantheta=sintheta/costheta$

$(cos theta csc theta)/tantheta=((costheta)*1/sintheta)/(sintheta/costheta)$

$=costheta/sintheta*(costheta/sintheta)=(costheta)^2/(sintheta)^2=(costheta/sintheta)^2=(cottheta)^2=color(blue)(cot^2(theta))$

How do you simplify (cos theta csc theta)/tantheta(cos theta csc theta)/tantheta?