Question

Prove that sin^4x + cos^4x =1- 2sin^2x cos^2x


This is a mathematical question from internet. Please prove it for me.....

Answer 1

Answer:

Step-by-step explanation:

sin⁴x + cos⁴x =  (sin²x)² + (cos²x)²

                      = (sin²x+cos²x) - 2*sin²x*cos²x

                      =  1 - 2*sin²x*cos²x

                      = R.H.S