Solve `cos^(50) x- sin^(50)x=1` – InterviewSolution

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1.	Solve `cos^(50) x- sin^(50)x=1`
Answer» `cos^(50)x-sin^(50)x=1` or `cos^(50)x=1+sin^(50)x` `L.H.S. le 1` and `R.H.S. ge 1` Hence, we must have `cos^(50) x=1+sin^(50)x=1` or `sin x=0` or `x=n pi, n in Z`

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