Exercise
$csc\left(2x\right)+\cot\left(4x\right)+csc\left(4x\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the trigonometric expression csc(2x)+cot(4x)csc(4x). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Combine fractions with common denominator \sin\left(4x\right).
Simplify the trigonometric expression csc(2x)+cot(4x)csc(4x)
Final answer to the exercise
$\frac{2\cos\left(2x\right)+\cos\left(4x\right)+1}{\sin\left(4x\right)}$