# Inverse Circular Functions and Trigonometric Equations

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1. Solve csc^2Î¸ - 2 cot Î¸ = 4 for solutions over the interval [0Â°, 360Â°]. Express approximate solutions to the nearest tenth of a degree. Could you please show me step by step to see how to get the correct answer? The correct answers are (18.4Â°, 135Â°, 198.4Â°, 315Â°)

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#### Solution Preview

cosec^2(θ) - 2 cot(θ) = 4

=> 1 + cot^2(θ) - 2cot(θ) = 4

=> cot^2(θ) - 2cot(θ) - 3 = 0

=> cot^2(θ) - 3cot(θ) + ...

#### Solution Summary

This shows how to solve a trigonometric equation over a given interval.

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