Exercise
$2\cos^2\left(\frac{x}{4}\right)-3\cos\left(\frac{x}{4}\right)=0$
Step-by-step Solution
Learn how to solve special products problems step by step online. Solve the trigonometric equation 2cos(x/4)^2-3cos(x/4)=0. Factor the polynomial 2\cos\left(\frac{x}{4}\right)^2-3\cos\left(\frac{x}{4}\right) by it's greatest common factor (GCF): \cos\left(\frac{x}{4}\right). Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations. Solve the equation (1). The angles where the function \cos\left(\frac{x}{4}\right) is 0 are.
Solve the trigonometric equation 2cos(x/4)^2-3cos(x/4)=0
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n,\:x=\frac{3}{2}\pi+2\pi n\:,\:\:n\in\Z$