Simplify $sintheta(csctheta+sinthetasec^2theta)$ ?

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Answer 1 · 2017-05-08T04:30:29

Please see below.

$sintheta(csctheta+sinthetasec^2theta)$

= $sintheta(1/sintheta+sinthetaxx1/cos^2theta)$

= $1+sin^2theta/cos^2theta$

= $1+tan^2theta$

= $sec^2theta$

Simplify sintheta(csctheta+sinthetasec^2theta)sintheta(csctheta+sinthetasec^2theta)?