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If `(x +y) = sin (x + y) " then " (dy)?(dx)=` ?

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If `(x +y) = sin (x + y) " then " (dy)?(dx)=` ?
A. `-1`
B. 1
C. `(1 - cos (x + y))/(cos^(2) (x + y))`
D. none of these
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Correct Answer - A
`(x + y) = sin (x + y) rArr 1 + (dy)/(dx) = cos (x + y) .[1 + (dy)/(dx)]`
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