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Solution 4.3:3b

From Förberedande kurs i matematik 1

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The angle v makes the same angle with the negative x-axis as the angle v makes with the positive x-axis and this means that v is the reflection of v in the y-axis.

Under such reflection, the angle's y-coordinate does not change (but the x-coordinate changes sign) and therefore sin(v)=sinv=a.