Find the Exact Value tan(180)

Problem

tan(180)

Solution

1. Identify the angle on the unit circle. The angle 180 corresponds to the point (−1,0) on the unit circle.

2. Apply the definition of the tangent function in terms of coordinates (x,y)

tan(θ)=y/x

3. Substitute the coordinates x=−1 and y=0 into the formula.

tan(180)=0/(−1)

4. Simplify the fraction to find the exact value.

tan(180)=0

Final Answer

tan(180)=0

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