Question

If sin - cos = 0 , then the value of sin^4 + cos^4 is

Answer 1

sinθ-cosθ = 0

sinθ= cosθ

sinθ/cosθ = 1

tanθ = 1

Bu tan45 = 1

So,

tanθ=tan45

θ = 45°

sin45 = 1/√2 cos45 = 1/√2

sin⁴θ+cos⁴θ = (1/√2)⁴+(1/√2)⁴

= 1/4+1/4 = 2/4 = 1/2 = 0.5

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Hope this helped you..................