trigonometry

Question: If $\sin A+\sin B=C,\cos A+\cos B=D,$then the value of $\sin (A+B)=$

1) $CD$

2) $\frac{CD}{{{C}^{2}}+{{D}^{2}}}$

3) $\frac{{{C}^{2}}+{{D}^{2}}}{2\,CD}$

4) $\frac{2\,CD}{{{C}^{2}}+{{D}^{2}}}$

Solution:

Explanation: No Solution

Trigonometric ratios of sum and difference of two and three

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