Exercise
$\sin\left(2a\right)-2\sin\left(a\right)=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation sin(2a)-2sin(a)=0. Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right). Factor the polynomial 2\sin\left(a\right)\cos\left(a\right)-2\sin\left(a\right) by it's greatest common factor (GCF): 2\sin\left(a\right). Divide both sides of the equation by 2. Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations.
Solve the trigonometric equation sin(2a)-2sin(a)=0
Final answer to the exercise
$a=0+2\pi n,\:a=\pi+2\pi n,\:a=0+2\pi n,\:a=2\pi+2\pi n\:,\:\:n\in\Z$