Learn how to solve problems step by step online. Solve the trigonometric equation csc(x)-4sin(x)=4cot(x). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. 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)}. Combine fractions with common denominator \sin\left(x\right).

Solve the trigonometric equation csc(x)-4sin(x)=4cot(x)