What is $cot^2theta-sectheta$ in terms of $sintheta$ ?

Question

2680 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-17T15:17:35

$((1-sin^2theta)/(sin^2theta))-((1)/sqrt(1-sin^2theta))$

The identities used in this question are

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

$2)$ $cot^2theta=(cos^2theta)/(sin^2theta)$

$3)$ $sectheta=1/costheta$

So

$=>cot^2theta-sec^2theta$

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

$=>(1-sin^2theta)/(sin^2theta)-(1)/sqrt(1-sin^2theta)$

What is cot^2theta-sectheta cot^2theta-sectheta in terms of sinthetasintheta?