Find the Value Using the Unit Circle tan(pi)

Problem

tan(π)

Solution

1. Identify the coordinates on the unit circle at the angle π radians.

2. Determine the point (x,y) corresponding to π which is located on the negative x-axis at (−1,0)

3. Apply the formula for the tangent function in terms of unit circle coordinates, where tan(θ)=y/x

4. Substitute the values x=−1 and y=0 into the formula.

5. Simplify the fraction 0/(−1) to find the final value.

Final Answer

tan(π)=0

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