I have this multiplication problem it says solve 11sin theta-7=3-6sin^2 theta(adsbygoogle = window.adsbygoogle || []).push({});

algebraically for the domain 0<=theta<=2pi

I rearranged this into a quadratic formula equal to 0

6sin^2 theta+ 11 sin theta -10=0

common factored this and then got 2sin theta=0 and 3sin theta -2=0

isolating the trig function sin theta=2 this has no solution and sin theta =2/3

For this equation I got the solution to be 42 degrees and 138 degrees but this answer cannot be found in the multiple choice it says the correct answer is 222 degrees and 318 degrees. What did I do wrong??

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# Homework Help: Trig solve quadratic equation

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