Find a numerical value of one trigonometric function of x if tan^2x-sin^2x/sin^2x=5

To find the numerical values of , we are going to solve the trigonometric equation  for .

Step 1. Simplify, :



Step 2. Add 1 to both sides of the equation:



Step 3. Take square root to both sides of the equation:



Step 4. Solve for :



We can conclude that the numerical values of  that satisfy the equation are  and