Question

cosec^6A-cot^6A=3cosec^2Acot^2A+1

Answer 1

(cosec a^2 - cot a^2)^3 + 3cosec a^2cot a^2(cosec a^2 - cot a^2)
(1)^3 + 3cosec a^2cot a^2(1)
= 1 + 3cosec a^2cot a^2