Exercise
$\sin\left(4x\right)-sin\left(2x\right)=sin\left(x\right)$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation sin(4x)-sin(2x)=sin(x). Grouping all terms to the left side of the equation. Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right). Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right). Factoring by \sin\left(x\right).
Solve the trigonometric equation sin(4x)-sin(2x)=sin(x)
Final answer to the exercise
$x=0+2\pi n,\:x=\pi+2\pi n,\:x=0\:,\:\:n\in\Z$