Exercise
$\cos\left(2x\right)+\sin\left(4\right)=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation cos(2x)+sin(4)=0. Applying an identity of double-angle cosine: \cos\left(2\theta\right)=1-2\sin\left(\theta\right)^2. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 1+\sin\left(4\right) from both sides of the equation. Simplify the product -(1+\sin\left(4\right)). Divide both sides of the equation by -2.
Solve the trigonometric equation cos(2x)+sin(4)=0
Final answer to the exercise
$x=0,\:x=0,\:\:,\:\:n\in\Z$