Question

find the value 9 cot² theta - 9cose² theta ​

Answer 1

Step-by-step explanation:

9cot^2theta-9cosec^2theta

=9(cot^2theta-cosec^2theta)

=9(-1)

=-9

Answer 2

let theta=α

then,

$9 \cot ^{2} ( \alpha ) - 9 { \cosec}^{2} \alpha$

$9( { \cot }^{2} \alpha - cosec ^{2} \alpha )$

$9(cot ^{2} \alpha - (1 +cot ^{2} \alpha ))$

$9( {cot}^{2} \alpha - 1 - {cot}^{2} \alpha )$

$9( - 1)$

$- 9$