Final Answer
$x=\frac{1}{8}\pi+\frac{1}{2}\pi n,\:x=\frac{5}{8}\pi+\frac{1}{2}\pi n$
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Step-by-step Solution
Problem to solve:
$\tan\left(2x\right)=1$
1
The angles where the function $\tan\left(2x\right)$ is $1$ are
$2x=45^{\circ}+360^{\circ}n,\:2x=225^{\circ}+360^{\circ}n$
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$2x=45^{\circ}+360^{\circ}n,\:2x=225^{\circ}+360^{\circ}n$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation tan(2x)=1. The angles where the function \tan\left(2x\right) is 1 are. Solve the equation (1). Divide both sides of the equation by 2. Expand the fraction \frac{45+180n}{2} into 2 simpler fractions with common denominator 2.
Final Answer
$x=\frac{1}{8}\pi+\frac{1}{2}\pi n,\:x=\frac{5}{8}\pi+\frac{1}{2}\pi n$