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1. Solutions of a trigonometric equation ●●○○○ 20 ptsFind the number of solutions to $\frac{1}{\sin^2 \theta} - \frac{1}{\cos^2 \theta} - \frac{1}{\tan^2 \theta} - \frac{1}{\cot^2 \theta} - \frac{1}{\sec^2 \theta} - \frac{1}{\csc^2 \theta} = -3$ in the interval $0 \le \theta \le 2\pi$.