If $\sin A = -\frac{24}{25}$, $\cos B = \frac{15}{17}$, A does not belong to 4\textsuperscript{th} quadrant and B does not belong to 1\textsuperscript{st} quadrant then $(A + B)$ lies in the quadrant
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To determine the quadrant of a sum of angles like $(A+B)$, find the signs of $\sin(A+B)$ and $\cos(A+B)$. Remember the quadrant sign rules: Q1(+,+), Q2(-,+), Q3(-,-), Q4(+,-) for $(\cos, \sin)$.