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using half angle formula solve cos75
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So we might want to try rewriting cos(75) in terms of cos(150), which is 75*2. That is a value on a unit circle. Just start by writing out the formula for half-angle.
cos(t/2) = +- sqrt( (1 + cos(t)) / 2 ) Where t = 150. And note that 75 is in the range where cosine is positive, so its value must also be positive. You may eliminate the negative end.
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