Simplify tan(x-pi)

Problem

tan(x−π)

Solution

1. Identify the tangent subtraction identity, which states tan(A−B)=(tan(A)−tan(B))/(1+tan(A)*tan(B))

2. Substitute the values A=x and B=π into the identity.

3. Evaluate the specific value tan(π)=0

4. Simplify the resulting expression by substituting 0 for tan(π)

tan(x−π)=(tan(x)−tan(π))/(1+tan(x)*tan(π))

tan(x−π)=(tan(x)−0)/(1+tan(x)⋅0)

tan(x−π)=tan(x)/1

Final Answer

tan(x−π)=tan(x)

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