Exercise
$3\sin^2\left(x\right)\cos\left(x\right)=\cos\left(x\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 3sin(x)^2cos(x)=cos(x). Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Solve the product 3\left(1-\cos\left(x\right)^2\right)\cos\left(x\right). Multiplying polynomials \cos\left(x\right) and 3-3\cos\left(x\right)^2. When multiplying exponents with same base you can add the exponents: -3\cos\left(x\right)\cos\left(x\right)^2.
Solve the trigonometric equation 3sin(x)^2cos(x)=cos(x)
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n,\:x=\frac{3}{2}\pi+2\pi n,\:,\:\:,\:\:n\in\Z$