Exercise
$\csc^2x+\cot^2x=1$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation csc(x)^2+cot(x)^2=1. Applying the trigonometric identity: \cot\left(\theta \right)^2 = \csc\left(\theta \right)^2-1. Combining like terms \csc\left(x\right)^2 and \csc\left(x\right)^2. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -1 from both sides of the equation. Add the values 1 and 1.
Solve the trigonometric equation csc(x)^2+cot(x)^2=1
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n\:,\:\:n\in\Z$