Question 973290: Please help!!! If pi < theta < 2pi and cos theta= cos 1, what is the value of theta? Round your answer to the nearest hundredth. The answer is 5.28 but I do not know how to get that answer. Please help!!! Thank you.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! cosine is positive in the first and fourth quadrants, so from the interval, the cosine has to be in the 4th quadrant.
Cosine 1 (1 radian) is 1 unit less than the 2*pi circumference, which is 6.28. That would make cos theta=cos 1, be 5.28. At both 1 and at 5.28, the cosine of theta is cos 1. The former is excluded by the interval given.
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