Solve for x tan(x)-1=0

Problem

tan(x)−1=0

Solution

1. Isolate the trigonometric function by adding 1 to both sides of the equation.

tan(x)=1

2. Identify the reference angle by finding the value of x in the first quadrant where the tangent is 1

x=π/4

3. Determine the general solution by considering the period of the tangent function, which is π

x=π/4+n*π

4. Define the variable n as any integer to represent all possible solutions.

n∈ℤ

Final Answer

tan(x)−1=0⇒x=π/4+n*π,n∈ℤ

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