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If sinx+siny geq cosalpha cosx, AA x in ...

If `sinx+siny geq cosalpha cosx, AA x in R` then `siny+cos alpha=`

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`cos `lapha cos x -sin x le sin y AA x in R`
`:. sin y ge` greatest value of `(cos alpha cos x - sin x)`
`:. sin y ge sqrt(cos^(2) alpha +1)`
`:. sin y=1` and `cos alpha =0`
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