How do you simplify the expression $(tantheta+cottheta)/csc^2theta$ ?

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Answer 1 · 2016-09-19T13:47:13

$tantheta$ .

We will use the Trigo. Identity $: 1+cot^2x=csc^2x$

Now, the Exp. $=(tantheta+cottheta)/csc^2theta$

$=(1/cottheta +cottheta)/csc^2theta$

$=((1+cot^2theta)/cottheta)/csc^2theta$

$=(csc^2theta/cottheta)/csc^2theta$

$=1/cottheta$

$=tantheta$ .

How do you simplify the expression (tantheta+cottheta)/csc^2theta(tantheta+cottheta)/csc^2theta?