Question

The period of the function f(x) = sin^4 x + cos^4 x is

Answer 1

Answer:

(Sin^2x)^2 + (cos^2x)^2

(As we know a^2 + b^2 = (a+b)^2 - 2ab

= (Sin^2x + cos^2x)^2- 2× sin^2x.cos^2x

= 1- 2×sin^2x.cos^2x

(As we know that 2sinx.cosx =sin (2x)

= 1 -2× sin(2x)^2

Hope it is helpful to u

Answer 2

Answer:

1-(sin(2x)^2)/2

Step-by-step explanation: