Understanding the Math: Why the Tangent of 0 Degrees is 0

tan 0°

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The value of the tangent of 0 degrees is 0.

We know that the tangent of an angle is equal to the length of the opposite side of the triangle divided by the length of the adjacent side. In the case of 0 degrees, the angle is at the origin of the coordinate plane, and the adjacent side is the positive x-axis. Since there is no length in the y-axis (opposite side) direction, the value of the tangent is 0.

Another way to think about this is that the tangent function has a period of 180 degrees, which means that it repeats after every 180 degrees. So, the tangent of 0 degrees is the same as the tangent of 180 degrees, which is 0.

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