Lösung 4.4:1d
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Version vom 15:11, 22. Okt. 2008
Because \displaystyle \tan v = \frac{\sin v}{\cos v}, the condition \displaystyle \tan v = 1 gives \displaystyle \sin v = \cos v, i.e. we look for angles in the unit circle whose x- and y-coordinates are equal.
After drawing the unit circle and the line y=x, we see that there are two angles which satisfy these conditions, \displaystyle v=\pi/4 and \displaystyle v = \pi + \pi/4 = 5\pi/4\,.