Simplify tan(x+pi/4)

Problem

tan(x+π/4)

Solution

1. Identify the sum formula for the tangent function, which is tan(A+B)=(tan(A)+tan(B))/(1−tan(A)*tan(B))

2. Substitute the values A=x and B=π/4 into the formula.

3. Evaluate the constant term tan(π/4) which equals 1

4. Simplify the expression by replacing tan(π/4) with 1

Final Answer

tan(x+π/4)=(tan(x)+1)/(1−tan(x))

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