89 JulyAsin o has 0 20 find the valuesin ( -uuso-sin 40 caso – InterviewSolution

1.

89 JulyAsin o has 0 20 find the valuesin ( -uuso-sin 40 caso

Answer»

Given, sinθ-cosθ = 0

sinθ = cosθsinθ/cosθ = 1tanθ = 1

But, tan45 = 1

So,tanθ=tan45θ = 45°

sin45 = 1/√2, cos45 = 1/√2

Therefore, sin⁴θ+cos⁴θ = (1/√2)⁴+(1/√2)⁴= 1/4+1/4 = 2/4 = 1/2 = 0.5

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