Exercise
$\frac{2+tan^2\left(x\right)}{1+tan^2\left(x\right)}-1$
Step-by-step Solution
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (2+tan(x)^2)/(1+tan(x)^2)-1. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2. Combine all terms into a single fraction with \sec\left(x\right)^2 as common denominator. Rewrite \frac{2+\tan\left(x\right)^2-\sec\left(x\right)^2}{\sec\left(x\right)^2} in terms of sine and cosine functions. Combine fractions with common denominator \cos\left(x\right)^2.
Simplify the trigonometric expression (2+tan(x)^2)/(1+tan(x)^2)-1
Final answer to the exercise
$\cos\left(x\right)^2$