What is $cot theta + tan ^2 theta$ in terms of $sintheta$ ?

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Answer 1 · 2016-03-03T09:18:53

We know that

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

$cottheta=costheta/sintheta=(sqrt(1-sin^2theta))/sintheta$

and

$tan^2theta=(cos^2theta)/(sin^2theta)=(1-sin^2theta)/(sin^2theta)$

Hence

$cottheta+tan^2theta=(sqrt(1-sin^2theta))/sintheta+(1-sin^2theta)/(sin^2theta)$

What is cot theta + tan ^2 theta cot theta + tan ^2 theta in terms of sintheta sintheta ?