66. If sinc + sinD = x, then the value of x is (2) Zsin(;)cos(C+") (3) 2cool + D) cosC;") (4) 2sin ( 7 )cool®;)

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66. (4) Here, ( sin C+sin D=x ) ( Rightarrow x=sin C+sin D ) ( Rightarrow x=2 cdot sin left(frac{mathrm{C}+mathrm{D}}{2}right) cdot cos left(frac{mathrm{C}-mathrm{D}}{2}right) ) ( [because ) it is the basic formula of ( sin C+sin D] )

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