Trigonometric Equation

Geometry Level 4

Given that 0∘≤θ≤360∘0^{\circ}\leq\theta\leq 360^{\circ} satisfies the trigonometric equation

5sin⁡θcos⁡2θ+2cos⁡θ=0,5\sin\theta\cos^2\theta+2\cos\theta=0,

find the number of values θ\theta can take.

Victor Loh by Victor Loh
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