Simplify tan(pi)+sin(pi)

Problem

tan(π)+sin(π)

Solution

1. Identify the value of the tangent function at π Since tan(θ)=sin(θ)/cos(θ) we have tan(π)=0/(−1)=0

2. Identify the value of the sine function at π On the unit circle, the ycoordinate at π radians is 0 so sin(π)=0

3. Substitute these values back into the original expression.

0+0

4. Simplify the resulting sum.

0

Final Answer

tan(π)+sin(π)=0

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