Find the general values of x and y satisfying the equations `5sinx cosy=1`; `4tanx =tany`

Explanation

`4 sinx/cosx = siny/siny`

`4sinxcosy= sinycosx`

`4/5 = siny cosx` as given

as we know, `sin^2x + cos^2x = 1`

`1/(25cos^2 y ) + 16/(25 sin^2y) = 1`

`sin^2 y = t`

`1/(25 *(1-t)) + 16/(25t) = 1`

`t + 16(1-t) = 25t(1-t)`

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