Question

cos⁶x+sin²x=3sin²xcos²x​

Answer 1

Step-by-step explanation:

As given in this question that cosx + cos²x=1 then use the identity

sin²x+cos²x=1

and the equation become as

cosx +1 -sin²x = 1.

cosx = sin²x

cos²x=sin⁴x

and back to the given equation you are left with sin²x+sin⁴x=1.