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Solution 4.2:5b

From Förberedande kurs i matematik 1

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If we draw the angle 225=180+45 on a unit circle, we see that it makes an angle of 45 with the negative x-axis.

This means that tan225, which is the slope of the line that makes an angle of 45 with the positive x-axis, equals tan45, because the line which makes an angle of 45 has the same slope,

tan225=tan45=sin45cos45=1212=1.