Question

if sin²a=cos²a then find cot⁶a-cot²a​

Answer 1

Answer:

cot^6 a - cot^2 a

(cot^2)^3 - cot ^2 a

{(cos^2 a /sin^2 a) ^3}. - cos^2 a / sin^2 a

it is given that sin^2 a = cos^2 a

so (cos^2 a / cos^2 a) ^3 - cos^2 a / cos^2 a

1^3 - 1

1 - 1. = 0