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# 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°)

##### Solution Summary

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

##### Solution Preview

cosec^2(&#952;) - 2 cot(&#952;) = 4
=> 1 + cot^2(&#952;) - 2cot(&#952;) = 4
=> cot^2(&#952;) - 2cot(&#952;) - 3 = 0
=> cot^2(&#952;) - 3cot(&#952;) + ...

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• MSc , Pune University, India
• PhD (IP), Pune University, India
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