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Trigonometry › Trigonometric equations › Counting solutions

Solutions of a trigonometric equation

High school · ●●○○○ 20 pts

Find the number of solutions to 1sin⁡2θ−1cos⁡2θ−1tan⁡2θ−1cot⁡2θ−1sec⁡2θ−1csc⁡2θ=−3\frac{1}{\sin^2 \theta} - \frac{1}{\cos^2 \theta} - \frac{1}{\tan^2 \theta} - \frac{1}{\cot^2 \theta} - \frac{1}{\sec^2 \theta} - \frac{1}{\csc^2 \theta} = -3 in the interval 0≤θ≤2π0 \le \theta \le 2\pi.

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