Question

evaluate 7 cot2 theta - 7 cosec2 theta​

Answer 1

Step-by-step explanation:

We already know that⬇️

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

So,

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

I hopes it help you❤️❤️

Answer 2

Answer:

Step-by-step explanation:

$= 7 cot^{2} θ - 7 cosec^{2} θ\\\\= 7 (cot^{2} θ - cosec^{2} θ)$

                                                               $cosec^{2}θ - cos^{2}θ = 1\\\\- cosec^{2}θ = - 1 - cos^{2}θ$

$= 7(- cos^{2}θ - cos^{2}θ - 1)\\\\= 7(-1)\\\\= -7$