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MathNet 2026 — Part 03 Question 150

Math Olympiad Vault · MathNet 2026 — Part 03

Question 150

Determine the closest two values of $x$ (default and excess) to $2003^{\circ}$ that meet the following trigonometric equation: $$
\frac{1}{\operatorname{sen}^{2} x}-\frac{1}{\cos ^{2} x}-\frac{1}{\operatorname{tg}^{2} x}-\frac{1}{\operatorname{cotg}^{2} x}-\frac{1}{\sec ^{2} x}-\frac{1}{\operatorname{cosec}^{2} x}=-3
$$