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If cos 25^0 + sin 25^0 = p, then cos 50^...

If `cos 25^0 + sin 25^0 = p`, then `cos 50^0` is equal to

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`sinx+siny>=cosacosx`
`siny>=cosa*cosx-sinx`
`siny>=sqrt(1+cos^2a)[sin(alpha+x)]`
`siny>=sqrt(1+cos^2a)`
`sqrt(1+cos^2a)=1`
`1+cos^2a=1`
`cosa=0`.
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