Question

9 cot square theta -9 cosec square theta

Answer 1

the above is the answer of your question

Answer 2

$9\cot^{2} \theta -9\csc^{2} \theta=-9$

Step-by-step explanation:

We have,

$9\cot^{2} \theta -9\csc^{2} \theta$

To find, $9\cot^{2} \theta -9\csc^{2} \theta=?$

∴ $9\cot^{2} \theta -9\csc^{2} \theta$

Taking common as minus( - 9), we get

$=(-9)(-\cot^{2} \theta +\csc^{2} \theta)$

$=(-9)(\csc^{2} \theta-\cot^{2} \theta)$

$=(-9)(1)$

[ ∵ $\csc^{2} \theta-\cot^{2} \theta=1$]

= - 9

Hence, $9\cot^{2} \theta -9\csc^{2} \theta=-9.$