Exercise
$4\sin\left(z\right)cos^2\left(z\right)=3\sin\left(z\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 4sin(z)cos(z)^2=3sin(z). Cancel \sin\left(z\right) from both sides of the equation. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Solve the product 4\left(1-\sin\left(z\right)^2\right). We need to isolate the dependent variable z, we can do that by simultaneously subtracting 4 from both sides of the equation.
Solve the trigonometric equation 4sin(z)cos(z)^2=3sin(z)
Final answer to the exercise
$z=\frac{1}{6}\pi+2\pi n,\:z=\frac{5}{6}\pi+2\pi n\:,\:\:n\in\Z$