Exercise
$4\sin\left(x\right)-\csc\left(x\right)=0$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Solve the trigonometric equation 4sin(x)-csc(x)=0. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Combine all terms into a single fraction with \sin\left(x\right) as common denominator. Multiply both sides of the equation by \sin\left(x\right). Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2.
Solve the trigonometric equation 4sin(x)-csc(x)=0
Final answer to the exercise
$x=\frac{1}{6}\pi+2\pi n,\:x=\frac{11}{6}\pi+2\pi n\:,\:\:n\in\Z$