Final answer to the problem
$x=\frac{1}{4}\pi+\pi n,\:x=\frac{3}{4}\pi+\pi n\:,\:\:n\in\Z$
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1
Applying the trigonometric identity: $2\cos\left(\theta \right)^2-1 = \cos\left(2\theta \right)$
$\cos\left(2x\right)=0$
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$\cos\left(2x\right)=0$
Learn how to solve equations trigonométriques problems step by step online. 2cos(x)^2-1=0. Applying the trigonometric identity: 2\cos\left(\theta \right)^2-1 = \cos\left(2\theta \right). The angles where the function \cos\left(2x\right) is 0 are. Solve the equation (1). Apply the formula: ax=b\to x=\frac{b}{a}, where a=2 and b=90+360n.
Final answer to the problem
$x=\frac{1}{4}\pi+\pi n,\:x=\frac{3}{4}\pi+\pi n\:,\:\:n\in\Z$
