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Solution 4.2:5a

From Förberedande kurs i matematik 1

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Because 135 = 90 +45, 135 is an angle in the second quadrant which makes an angle of 45 with the positive y -axis.


We can determine the point on the unit circle which corresponds to 135 by introducing an auxiliary triangle and calculating its edges using trigonometry.


opposite=1sin45=12

adjacent =1cos45=12


The coordinates of the point are −1212  and this shows that cos135=−12.

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