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Find the values of a for which a^2-6sinx...

Find the values of a for which `a^2-6sinx-5ale0,Aax inR`.

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`a^2-6sinx-5a<=0`
`(a^2-5a)/6<=sinx`
`(a^2-5a)/6<=-1`
`a^2-5a<=-6`
`a^2-5a+6<=0`
`(a-3)(a-2)<=0`
`a in[2,3]`.
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