Question

Why we take angle in anti clockwise direction as positive?

Answer 1

So it is more simple to assign the positive direction to an angle if it rotate the positive semi-axis toward the positive semi-axis and this is the counter clockwise direction

Answer 2

An angle in standard position has its initial side on the positive x-axis so the vertex is at the origin. The measure of an angle describes the magnitude and direction of the rotation of the ray from its initial position to its terminal position. If the rotation is counterclockwise, the angle has a positive measure.

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