SOLUTION: Hi I have a question on solving Trigonometric Equations This is the question I was given: Solve Algebraically, over the set of real numbers, givging exact values where possible.

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Question 975157: Hi I have a question on solving Trigonometric Equations
This is the question I was given:
Solve Algebraically, over the set of real numbers, givging exact values where possible. +3sin%5E2%28theta%29+%2B+5cos%28theta%29+=+1+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+3sin%5E2%28theta%29+%2B+5cos%28theta%29+=+1
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3%281+-+cos%5E2%28t%29%29+%2B+5cos%28t%29+-+1+=+0
3cos%5E2%28t%29+-+5cos%28t%29+-+2+=+0
(3cos + 1)*(cos - 2) = 0
cos = 2 (Ignore)
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cos = -1/3
theta = acos(-1/3)