How do you simplify the expression $sectheta/tantheta$ ?

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Answer 1 · 2016-08-14T15:51:12

Apply the identity $secbeta = 1/cosbeta$ and the identity $tanbeta = sin beta/cosbeta$ .

$=(1/costheta)/(sintheta/costheta) = 1/costheta xx costheta/sintheta = 1/sintheta$

Now apply the identity $1/sintheta = csctheta$ :

$=csctheta$

Hopefully this helps!

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