Final answer to the problem
$x=\frac{1}{12}\pi+\frac{1}{3}\pi n,\:x=\frac{5}{12}\pi+\frac{1}{3}\pi n\:,\:\:n\in\Z$
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1
The angles where the function $\tan\left(3x\right)$ is $1$ are
$3x=45^{\circ}+360^{\circ}n,\:3x=225^{\circ}+360^{\circ}n$
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$3x=45^{\circ}+360^{\circ}n,\:3x=225^{\circ}+360^{\circ}n$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation tan(3x)=1. The angles where the function \tan\left(3x\right) is 1 are. Solve the equation (1). Divide both sides of the equation by 3. Expand the fraction \frac{45+180n}{3} into 2 simpler fractions with common denominator 3.
Final answer to the problem
$x=\frac{1}{12}\pi+\frac{1}{3}\pi n,\:x=\frac{5}{12}\pi+\frac{1}{3}\pi n\:,\:\:n\in\Z$
