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Evaluate. Write your answer in simplified, rationalized form. Do not round.tan360°=

Question

Evaluate. Write your answer in simplified, rationalized form. Do not round.tan360°=

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Solution

The tangent of 360 degrees is 0. This is because the tangent of an angle in the unit circle is defined as the y-coordinate divided by the x-coordinate. At 360 degrees, we are back at the starting point on the unit circle where the coordinates are (1,0). Therefore, tan(360°) = 0/1 = 0.

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