How do you simplify $tan(theta)csc(theta)$ ?

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Answer 1 · 2018-03-20T14:02:51

$sectheta$

we want to simplify

$tanthetacsctheta$

now $tantheta=(sintheta)/(costheta)$

and

$csctheta=1/(sintheta)$

$:.tanthetacsctheta=(cancel(sintheta))/(costheta)xx1/(cancel(sintheta))$

$1/(costheta)=sectheta$

How do you simplify tan(theta)csc(theta)tan(theta)csc(theta)?