Understand tangent function: Understand the trigonometric function tangent. Tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side. For tan(0), we are looking at an angle of 0 degrees.
Apply definition to angle: Apply the definition of tangent to the angle of 0 degrees.At 0 degrees, the length of the opposite side of the triangle is 0, and the length of the adjacent side is any non-zero number (since the side cannot have a length of 0). Therefore, the ratio of the opposite to the adjacent side is 0/any non-zero number.
Calculate tan(0): Calculate the value of tan(0).The value of tan(0) is 0 divided by any non-zero number, which is 0.
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