Exercise
$2\sin\left(x\right)+\cos^2\left(x\right)=2$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 2sin(x)+cos(x)^2=2. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Move everything to the left hand side of the equation. Subtract the values 1 and -2. We can try to factor the expression 2\sin\left(x\right)-1-\sin\left(x\right)^2 by applying the following substitution.
Solve the trigonometric equation 2sin(x)+cos(x)^2=2
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n\:,\:\:n\in\Z$