Simplify tan(pi)

Problem

tan(π)

Solution

1. Identify the definition of the tangent function in terms of sine and cosine.

tan(θ)=sin(θ)/cos(θ)

2. Substitute the given angle π into the trigonometric functions.

tan(π)=sin(π)/cos(π)

3. Evaluate the sine and cosine values at π radians on the unit circle.

sin(π)=0

cos(π)=−1

4. Simplify the resulting fraction.

tan(π)=0/(−1)

tan(π)=0

Final Answer

tan(π)=0

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