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If angles alpha and beta satisfy the equ...

If angles `alpha and beta` satisfy the equation `a cos theta+ b sin theta= c(a,b,c` are constants), prove that-
(a) `sin (alpha+ beta)= (2ab)/(a^(2)+b^(2))`
(b)`cos (alpha+beta)=(a^(2)-b^(2))/(a^(2)+b^(2))`
(c) `cos (alpha- beta)=(2c^(2)-(a^(2)+b^(2)))/(a^(2)+b^(2))`

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