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Solution 4.3:3d

From Förberedande kurs i matematik 1

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The expression for the angle 2v differs from 2 by as much as v differs from 0. This means that 2 makes the same angle with the positive y -axis as v makes with the positive x -axis.


Angle v angle v


Therefore, the angle 2v has a y -coordinate which is equal to the x -coordinate for the angle v, i.e.


sin2v=cosv 


and from exercise c, we know that cosv=1a2 


sin2v=1a2