Learn how to solve problems step by step online. Solve the trigonometric equation -6cos(x)=1+2sin(x)^2. 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 trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Multiply the single term -2 by each term of the polynomial \left(1-\cos\left(x\right)^2\right). We need to isolate the dependent variable x, we can do that by simultaneously subtracting -2+2\cos\left(x\right)^2 from both sides of the equation.

Solve the trigonometric equation -6cos(x)=1+2sin(x)^2