Exercise
$\frac{\sec\left(x\right)\cot\left(x\right)}{2\sin^2\left(x\right)+2\cos^2\left(x\right)}$
Step-by-step Solution
Learn how to solve factorization problems step by step online. Simplify the trigonometric expression (sec(x)cot(x))/(2sin(x)^2+2cos(x)^2). Factoring by 2. Applying the pythagorean identity: \sin^2\left(\theta\right)+\cos^2\left(\theta\right)=1. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.
Simplify the trigonometric expression (sec(x)cot(x))/(2sin(x)^2+2cos(x)^2)
Final answer to the exercise
$\frac{\csc\left(x\right)}{2}$