Exercise
$sen\:4x\cdot csc\:40^{\circ}=1$
Step-by-step Solution
Learn how to solve properties of logarithms problems step by step online. Solve the trigonometric equation sin(4x)csc(40)=1. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiply the fraction by the term . Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right). Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right).
Solve the trigonometric equation sin(4x)csc(40)=1
Final answer to the exercise
$x=0+2\pi n,\:x=\pi+2\pi n,\:x=0\:,\:\:n\in\Z$