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The angles where the function $\tan\left(2x\right)$ is $-1$ are
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$2x=135^{\circ}+360^{\circ}n,\:2x=315^{\circ}+360^{\circ}n$
Learn how to solve 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{135+180n}{2} into 2 simpler fractions with common denominator 2.