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For what values of theta is cos(4 theta) = 0
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First you would need to have some previous knowledge on when does cos(theta) equal zero. Do you know that?
Sorry but I have to go soon, but once you know when Cos(theta) is equal to zero. You would divide that(or those) values by four because what you currently have is cos(4xTheta) or a value of theta that is four times theta.
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