1.

`(sin^(3)x)/(1 + cosx) + (cos^(3)x)/(1 - sinx) =`A. `sqrt(2)cos((pi)/(4) - x)`B. `sqrt(2)cos((pi)/(4) + x)`C. `sqrt(2)sin((pi)/(4) - x)`D. `sqrt(2)sin((pi)/(4) + x)`

Answer» Correct Answer - A::D
`(sin^(3)x)/(1+cosx)+(cos^(3)x)/(1-sinx)`
`rArr ((1-cosx)sin^(3)x)/((1-cosx)(1+cosx))+((1+sinx)cos^(3)x)/((1+sinx)(1-sinx))`
`rArr (1 - cosx)sinx + (1+sinx)cos x`
`rArr sin x + cos x rArr sqrt(2)cos((pi)/(4) - x) = sqrt(2)sin ((pi)/(4) + x)`


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