Teaching EMRS PGT Mock Test 2023 Mathematics Trigonometry Trigonometric Functions

If cos A + cos B = m, sin A + sin B = n where m, n ≠ 0, then what is sin (A + B) equal to?

1
\(\dfrac{mn}{m^2 + n^2}\)
2
\(\dfrac{2mn}{m^2 + n^2}\)
3
\(\dfrac{m^2 + n^2}{2mn}\)
4
\(\dfrac{mm}{m+n}\)
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