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Solve cos^(50) x- sin^(50)x=1...

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

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`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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