Exercise
$8\sin\left(2b\right)-6\cos\left(b\right)=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 8sin(2b)-6cos(b)=0. Factor 8\sin\left(2b\right)-6\cos\left(b\right) by the greatest common divisor 2. Divide both sides of the equation by 2. Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right). Factor the polynomial 8\sin\left(b\right)\cos\left(b\right)-3\cos\left(b\right) by it's greatest common factor (GCF): \cos\left(b\right).
Solve the trigonometric equation 8sin(2b)-6cos(b)=0
Final answer to the exercise
$b=\frac{1}{2}\pi+2\pi n,\:b=\frac{3}{2}\pi+2\pi n\:,\:\:n\in\Z$