Question

7 cot^2 theta - 7 cosec^2 theta. Write as integer.

Answer 1

Step-by-step explanation:

We know that

${ (\csc(x) )}^{2} - {( \cot(x) )}^{2} = 1$

So,

$7 {( \cot(x) )}^{2} - 7 {( \csc(x) )}^{2} \\ = - 7{ {( \csc(x) )}^{2} - {( \cot(x) )}^{2} } \\ = - 7(1) = - 7$

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