Exercise
$13\sin\left(2x\right)=13\cos\left(x\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 13sin(2x)=13cos(x). Cancel 13 from both sides of the equation. 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). Factor the polynomial 2\sin\left(x\right)\cos\left(x\right)-\cos\left(x\right) by it's greatest common factor (GCF): \cos\left(x\right).
Solve the trigonometric equation 13sin(2x)=13cos(x)
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n,\:x=\frac{3}{2}\pi+2\pi n,\:x=\frac{1}{6}\pi+2\pi n,\:x=\frac{5}{6}\pi+2\pi n\:,\:\:n\in\Z$