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Given that (1+sqrt(1+x))tany=1+sqrt(1-x)...

Given that `(1+sqrt(1+x))tany=1+sqrt(1-x)` . Then `sin4y` is equal to (a)`4x` (b) `2x` (c) `x` (d) none of these

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Let` x=costheta`
`1+x=1+costheta`
`=2cos^2(theta/2)`
`sqrt(1+x)=sqrt2cos(theta/2)`
`1-x=1-costheta`
`=2sin^2(theta/2)`
`sqrt(1-x)=sqrt2si(theta/2)`
`tany=(1+sqrt(1-x))/(1+sqrt(1+x))`
...
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