If $\sin \alpha-\cos \alpha=0$ then find the value of $\left(\sin ^{4} – InterviewSolution

1.	If $\sin \alpha-\cos \alpha=0$ then find the value of $\left(\sin ^{4} \alpha+\cos ^{4} \alpha\right)$
Answer» sin - cos = 0sin = costan = 1 so = 45°sosin⁴ + cos⁴ = (1/√2)⁴ + (1/√2)⁴= 1/4 + 1/4 = 2/4 = 1/2

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