Question 1148433
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A couple of basics for solving trigonometric equations....<br>
(1) Unless you have a LOT of experience, replace csc(x) with 1/sin(x), sec(x) with 1/cos(x), and cot(x) with 1/tan(x).  You might further choose to replace tan(x) with sin(x)/cos(x).<br>
(2) If the equation involves sin(x) and cos^2(x), replace the cos^2(x) with 1-sin^2(x) to get the equation in terms of sin(x) only; similarly if it involves cos(x) and sin^2(x), replace the sin^2(x) with 1-cos^2(x) to get the equation in terms of cos(x) only.<br>
In this example, (1) is not applicable; (2) is the key.  The resulting quadratic factors nicely, making it easy to find the solution set.<br>
If you need more help with this, re-post the question, SHOWING THE WORK you have tried to do.