Question

If sin x-cos x =0 then find the value of sin4x+cos4x =?

Answer 1

sinx - cosx = 0 

By squaring both the sides 

sin2x + cos2x - 2 sinx cosx = 0  ........ (1)

1 - 2 sinx cosx = 0 or 2 sinx cosx = 1 

again by squaring (1)

(sin2x + cos2x - 1)2  = (0)2

sin4x + cos4x + 1 + 2 sin2x cos2x - 2 cos2x - 2 sin2x = 0

sin4x + cos4x + 1 + 2(1) - 2 (1 - sin2x) -  2 sin2x = 0

sin4x + cos4x + 1 + 2 - 2 + 2 sin2x - 2 sin2x = 0 

sin4x + cos4x + 1 = 0 

sin4x + cos4x = -1

Hope it helps !!!

Answer 2

Answer:

The Answer is 1/2.

Step-by-step explanation:

picture explanation …