# Inverse Circular Functions and Trigonometric Equations

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1. Solve csc^2θ - 2 cot θ = 4 for solutions over the interval [0°, 360°]. 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 (18.4°, 135°, 198.4°, 315°)

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##### Solution Summary

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

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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) + ...

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