Question

If sin θ - cos θ = 0, then the value of (sin⁴ θ +cos⁴θ) is

A. 1

B. 3/4

C. 1/2

D. 1/4

Answer 1

C. 1/2

Given: sin θ – cos θ = 0

And we know, tan 45° = 1

So, tan θ = 1 = tan 45°

By comparing above equation, we get θ = 45°