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If sinx+sinygeqcosacosxAA in R , then s...

If `sinx+sinygeqcosacosxAA in R ,` then `siny+cosa` 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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