# Find the Inverse sec(x)^2 Interchange the variables.
Solve for .
Rewrite the equation as .
Replace the with based on the identity.
Reorder the polynomial.
Apply pythagorean identity.
Take the root of both sides of the to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Set up each of the solutions to solve for .
Set up the equation to solve for .
Take the inverse secant of both sides of the equation to extract from inside the secant.
Set up the equation to solve for .
Take the inverse secant of both sides of the equation to extract from inside the secant.
List all of the results found in the previous steps.
Solve for and replace with .
Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Remove parentheses.
Pull terms out from under the radical, assuming positive real numbers.
Since , is the inverse of .
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