Final Answer
$x=0+2\pi n,\:x=\pi+2\pi n,\:x=\frac{1}{4}\pi+\pi n,\:x=\frac{5}{4}\pi+\pi n\:,\:\:n\in\Z$
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Step-by-step Solution
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1
Grouping all terms to the left side of the equation
$\sin\left(x\right)\tan\left(x\right)-\sin\left(x\right)=0$
Learn how to solve trigonometric equations problems step by step online.
$\sin\left(x\right)\tan\left(x\right)-\sin\left(x\right)=0$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation sin(x)tan(x)=sin(x). Grouping all terms to the left side of the equation. Factor the polynomial \sin\left(x\right)\tan\left(x\right)-\sin\left(x\right) by it's greatest common factor (GCF): \sin\left(x\right). Break the equation in 2 factors and set each equal to zero, to obtain. Solve the equation (1).
Final Answer
$x=0+2\pi n,\:x=\pi+2\pi n,\:x=\frac{1}{4}\pi+\pi n,\:x=\frac{5}{4}\pi+\pi n\:,\:\:n\in\Z$