Precalculus
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Find all solutions to the equation.
2cosθ+4=5\sqrt2\cos\theta+4=52cosθ+4=5
θ=π4+2πn,3π4+2πn\theta=\frac{\pi}{4}+2\pi n,\frac{3\pi}{4}+2\pi nθ=4π+2πn,43π+2πn
θ=π4+2πn,7π4+2πn\theta=\frac{\pi}{4}+2\pi n,\frac{7\pi}{4}+2\pi nθ=4π+2πn,47π+2πn
θ=3π4+2πn,5π4+2πn\theta=\frac{3\pi}{4}+2\pi n,\frac{5\pi}{4}+2\pi nθ=43π+2πn,45π+2πn
θ=5π4+2πn,7π4+2πn\theta=\frac{5\pi}{4}+2\pi n,\frac{7\pi}{4}+2\pi nθ=45π+2πn,47π+2πn