SOLUTION: solve each of the following cos theta=-3sin theta 3cos^2theta=5-7sin theta

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Question 261882: solve each of the following
cos theta=-3sin theta
3cos^2theta=5-7sin theta

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!

step 1 - divide by cos theta to get

step 2 - divde by -3 to get

step 3- take arctan to get

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step 1 - use the identity sin^2(theta) + cos^2(theta) = 1 to get

step 2 - distribute the 3 to get

step 3 - set = 0 to get

step 5 - set = 0 and solve for theta to get
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but this is not possible, so our answer is:

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