Exercise
$\frac{\left(1+\sec^2\left(x\right)\right)}{\tan^2\left(x\right)}=1$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation (1+sec(x)^2)/(tan(x)^2)=1. Applying the trigonometric identity: \sec\left(\theta \right)^2 = 1+\tan\left(\theta \right)^2. Expand the fraction \frac{2+\tan\left(x\right)^2}{\tan\left(x\right)^2} into 2 simpler fractions with common denominator \tan\left(x\right)^2. Simplify the resulting fractions. Applying the trigonometric identity: \cot\left(\theta\right)=\frac{1}{\tan\left(\theta\right)}.
Solve the trigonometric equation (1+sec(x)^2)/(tan(x)^2)=1
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n\:,\:\:n\in\Z$