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Solution 4.2:4a

From Förberedande kurs i matematik 1

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It can be a little difficult to draw the angle 116 straight onto a unit circle, but if we rewrite 116 as

611=66+3+2=+2+3

we see that we have an angle that lies in the fourth quadrant, as in the figure below to the left.

We also note that this angle corresponds to exactly the same point on the unit circle as the angle 6, and because we calculated cos(6) in exercise 4.2:3f, we have that

cos611=cos6=23.