Solve for x tan(x-1)^2=0

Problem

tan(x−1)=0

Solution

1. Take the square root of both sides of the equation to isolate the tangent function.

tan(x−1)=0

2. Identify the general solution for the tangent function, knowing that tan(θ)=0 when the angle θ is an integer multiple of π

x−1=n*π

3. Isolate x by adding 1 to both sides of the equation, where n represents any integer.

x=n*π+1

Final Answer

tan(x−1)=0⇒x=n*π+1,n∈ℤ

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