Exercise
$2cos^2x=-cosx+3$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 2cos(x)^2=-cos(x)+3. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Multiply the single term 2 by each term of the polynomial \left(1-\sin\left(x\right)^2\right). We need to isolate the dependent variable x, we can do that by simultaneously subtracting 2+\cos\left(x\right) from both sides of the equation.
Solve the trigonometric equation 2cos(x)^2=-cos(x)+3
Final answer to the exercise
$x=0,\:x=0\:,\:\:n\in\Z$