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Value of positive angle x in degrees suc...

Value of positive angle x in degrees such that `8sinxcos^5x-8sin^5x=1` can be

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`8sinxcos^5x - 8sin^5xcosx = 1`
`=>8sinxcosx(cos^4x - sin^4x) = 1`
`=>4*2sinxcosx[(cos^2x+sin^2x)(cos^2x-sin^2x)] = 1`
`=>4sin2x[1(cos2x)] = 1`
`=>2*2sin2xcos2x = 1`
`=>sin4x = 1/2`
`=>sin4x = sin(pi/6) and sin 4x = sin((5pi)/6)`
`=>4x = pi/6 and 4x = (5pi)/6`
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