Precalculus
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Find all solutions to the equation.
sinθ=−32\sin\theta=-\frac{\sqrt3}{2}sinθ=−23
θ=π3+2πn,2π3+2πn\theta=\frac{\pi}{3}+2\pi n,\frac{2\pi}{3}+2\pi nθ=3π+2πn,32π+2πn
θ=7π6+2πn,11π6+2πn\theta=\frac{7\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi nθ=67π+2πn,611π+2πn
θ=4π3+2πn,5π3+2πn\theta=\frac{4\pi}{3}+2\pi n,\frac{5\pi}{3}+2\pi nθ=34π+2πn,35π+2πn
θ=π6+2πn,5π6+2πn\theta=\frac{\pi}{6}+2\pi n,\frac{5\pi}{6}+2\pi nθ=6π+2πn,65π+2πn