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Solve

$$2+\cot\theta = \csc\theta $$ where $$ 0 \leq \theta \lt 2\pi $$

The suggested answer is $2.21$ only (in rad, corr to $3$ sig. fig.)

My reasonable guess is there are at least two solutions. Any suggestion?

  • 1
    I suggest that you start by graphing the function $y=2+\cot x - \csc x$. Or wolfram alpha is your friend. http://www.wolframalpha.com/input/?i=plot+2%2B+%28cot+x%29-%28csc+x%292012-09-28

4 Answers 4