SOLUTION: Find all solutions of the equation below on the interval [0,2pi). Enter your answer as a comma-separated list of values or enter none if there is no solution. cos theta cos 3 th

Question 830245: Find all solutions of the equation below on the interval [0,2pi). Enter your answer as a comma-separated list of values or enter none if there is no solution.
cos theta cos 3 theta - sin theta sin 3 theta = 0
Answer: theta =
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all solutions of the equation below on the interval [0,2pi). Enter your answer as a comma-separated list of values or enter none if there is no solution.
cos theta cos 3 theta - sin theta sin 3 theta = 0
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Formula Form: cos(x+y) = cos(x)cos(y) - sin(y)sin(x)
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Answer: Your problem has that form
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cos(3t+t) = 0
----
cos(4t) = 0
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Equation:
4t = pi/2 or (3/2)pi
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t = pi/8 or t = (3/8)pi
===========================
Cheers,
Stan H.
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