Question

calcuate the value of cot^2theta-1/sin^2 theta

Answer 1

Hello,

Solution:

Using x in place of thetha

Identity
$1 + {cot}^{2} x = {cosec}^{2} x$
${cot}^{2} x - \frac{1}{ {sin}^{2} x } \\ \\ = {cot}^{2} x - {cosec}^{2} x \\ \\ = - 1$
since 1/sinx = cosec x

Hope it helps you