Question

8 cosec2A - 8 cot2A = ?​

Answer 1

Step-by-step explanation:

We know,in trigonometry chapter,there is an identity :- 1 + Cot^2theta = Cosec^2theta

Here, theta = A

=> Cosec^2A - Cot^2A = 1 ( eq 1)

Therefore, 8 cosec^2A - 8 cot^2A =8(Cosec^2A - Cot^2A) [Here we have taken 8 common and put value of cosec^2A - cot^2A from eq 1 ]

therefore,8 cosec^2A - 8 cot^2A = 8 × 1 = 8 Ans.