Exercise
$\left(1-\cos\left(x\right)^2\right)\sec\left(x\right)^2=1$
Step-by-step Solution
Learn how to solve logarithmic differentiation problems step by step online. Solve the trigonometric equation (1-cos(x)^2)sec(x)^2=1. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Simplify \sin\left(x\right)^2\sec\left(x\right)^2 using trigonometric identities. Removing the variable's exponent. Calculate the power \sqrt{1}.
Solve the trigonometric equation (1-cos(x)^2)sec(x)^2=1
Final answer to the exercise
$x=\frac{1}{4}\pi+\pi n,\:x=\frac{5}{4}\pi+\pi n\:,\:\:n\in\Z$