Question

if sin theta - cos theta = 0, then find the value of sin^4 theta+ cos^4 theta​

Answer 1

sinx = cosx

x = 1/√2

then value = 1/4+ 1/4 = 1/2

hope it helps..

Answer 2

Answer: 0

Step-by-step explanation:

For my convinience, let theta be A

sinA-cosA=0

(sinA-cosA)^2 =0

sin^2A+cos^2A-2sinAcosA+2sinAcosA=0

(sin^2A+cos^2A)^2=0

sin^4A+cos^4A+2sin^2Acos^2A-2sin^2Acos^2A=0

Hence sin^4theta+cos^4theta=0