Exercise
$2cos\left(x\right)+1=\:\frac{1}{cos\left(x\right)}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 2cos(x)+1=1/cos(x). Multiply both sides of the equation by \cos\left(x\right). Multiplying polynomials \cos\left(x\right) and 2\cos\left(x\right)+1. Move everything to the left hand side of the equation. We can try to factor the expression 2\cos\left(x\right)^2+\cos\left(x\right)-1 by applying the following substitution.
Solve the trigonometric equation 2cos(x)+1=1/cos(x)
Final answer to the exercise
$x=\frac{1}{3}\pi+2\pi n,\:x=\frac{5}{3}\pi+2\pi n\:,\:\:n\in\Z$