SOLUTION: Please Help!! If pi <= theta < 2pi and cos(theta) = cos(1), what is the value of theta?

Question 973278: Please Help!! If pi <= theta < 2pi and cos(theta) = cos(1), what is the value of
theta?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!



the "angle 1" means 1 radian, which is about 57.3�, so 1 radian is in quadrant QI,
so cos(q) is positive. 

From p to 2p is the region below the x-axis, which includes quadrants QIII and
QIV.  Of those two quadrants, the cosine is positive only in QIV.

The angle q in QIV which has 1 radian as its reference angle is found by
subtracting 1 radian from 2p (which is the same as 360�).

Answer: 2p - 1

Edwin

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