Exercise
$\frac{sec\:x}{csc\:x}=sen\:x\:csc\:x$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation sec(x)/csc(x)=sin(x)csc(x). Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right). Simplify the fraction \frac{\sin\left(x\right)}{\sin\left(x\right)} by \sin\left(x\right). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.
Solve the trigonometric equation sec(x)/csc(x)=sin(x)csc(x)
Final answer to the exercise
$x=\frac{1}{4}\pi+\pi n,\:x=\frac{5}{4}\pi+\pi n\:,\:\:n\in\Z$