Practice problem
Given sin(a)=23\sin(a)=\frac23sin(a)=32 and cos(b)=−14\cos(b)=-\frac14cos(b)=−41, with aaa and bbb both in the interval [π2,π)[\frac{\pi}2,\pi)[2π,π) find sin(a+b)\sin(a+b)sin(a+b).
−4+31524-\frac{4+3\sqrt{15}}{24}−244+315
4+31524\frac{4+3\sqrt{15}}{24}244+315
−2+5312-\frac{2+5\sqrt3}{12}−122+53
2+5312\frac{2+5\sqrt3}{12}122+53
Type a concept, like “slope” or “photosynthesis”.