Exercise
$\frac{\cot^2x+1}{\cot x}$
Step-by-step Solution
Learn how to solve factorization problems step by step online. Simplify the trigonometric expression (cot(x)^2+1)/cot(x). Apply the trigonometric identity: 1+\cot\left(\theta \right)^2=\csc\left(\theta \right)^2. Rewrite \frac{\csc\left(x\right)^2}{\cot\left(x\right)} in terms of sine and cosine functions. We can simplify the quotient of fractions \frac{\frac{1}{\sin\left(x\right)^2}}{\frac{\cos\left(x\right)}{\sin\left(x\right)}} by inverting the second fraction and multiply both fractions. Simplify the fraction by \sin\left(x\right).
Simplify the trigonometric expression (cot(x)^2+1)/cot(x)
Final answer to the exercise
$2\csc\left(2x\right)$