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Solution 4.2:3f

From Förberedande kurs i matematik 1

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The point on the unit circle which corresponds to the angle 6 lies in the fourth quadrant.

Image:4_2_3_f1.gif

As usual, cos6  gives the x -coordinate of the point of intersection between the angle's line and the unit circle. In order to determine this point, we introduce an auxiliary triangle in the fourth quadrant.

Image:4_2_3_f2.gif

We can determine the edges in this triangle by simple trigonometry and then translate these over to the point's coordinates.

Image:4_2_3_f3.gif

The coordinates of the point of intersection are 2321  and in particular cos6=23 .