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