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If 3sinx+4cosa x=7 has at least one solu...

If `3sinx+4cosa x=7` has at least one solution, then find the possible values of `adot`

Text Solution

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We have `3 sin x+4 cos ax=7` which is possible only when
`sin x=1` and `cos ax =1`
or `x=(4n+1) pi/2` and `ax=2mpi, m, n in Z`
or `(4n+1) pi/2=(2m pi)/a`
or `a=(4m)/(4n+1), m, n in Z`
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