Exercise
$\cos2x+3\sin^2-\cos^2x=5\sin x-2$
Step-by-step Solution
Learn how to solve addition of integers problems step by step online. Solve the trigonometric equation cos(2x)+3sin(x)^2-cos(x)^2=5sin(x)-2. Apply the trigonometric identity: \cos\left(2\theta \right)=2\cos\left(\theta \right)^2-1. Combining like terms 2\cos\left(x\right)^2 and -\cos\left(x\right)^2. Apply the trigonometric identity: -1+\cos\left(\theta \right)^2=-\sin\left(\theta \right)^2. Combining like terms -\sin\left(x\right)^2 and 3\sin\left(x\right)^2.
Solve the trigonometric equation cos(2x)+3sin(x)^2-cos(x)^2=5sin(x)-2
Final answer to the exercise
$x=\frac{1}{6}\pi+2\pi n,\:x=\frac{5}{6}\pi+2\pi n\:,\:\:n\in\Z$