Exercise
$4\sec^2x-8=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 4sec(x)^2-8=0. Factor the polynomial 4\sec\left(x\right)^2-8 by it's greatest common factor (GCF): 4. Divide both sides of the equation by 4. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -2 from both sides of the equation. Removing the variable's exponent.
Solve the trigonometric equation 4sec(x)^2-8=0
Final answer to the exercise
$\sec\left(x\right)=\sqrt{2},\:\sec\left(x\right)=-\sqrt{2}\:,\:\:n\in\Z$