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Using the sine double-angle identity: $\sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right)$
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$2\sin\left(x\right)\cos\left(x\right)-\tan\left(x\right)=0$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation sin(2x)-tan(x)=0. Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Factor the polynomial 2\cos\left(x\right)^2\sin\left(x\right)-\sin\left(x\right) by it's greatest common factor (GCF): \sin\left(x\right).