Solve for x 7tan(3x)=7

Problem

7*tan(3*x)=7

Solution

1. Isolate the trigonometric function by dividing both sides of the equation by 7

tan(3*x)=1

2. Identify the general solution for the tangent function, where tan(θ)=1 occurs at θ=π/4+n*π for any integer n

3*x=π/4+n*π

3. Solve for x by dividing the entire expression by 3

x=π/12+(n*π)/3

Final Answer

x=π/12+(n*π)/3

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