Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Multiply the numbers:
Simplify
Group like terms
Add the numbers:
Solve by substitution
Let:
Write in the standard form
Rewrite the equation with and
Solve
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Multiply the numbers:
Add the numbers:
Factor the number:
Apply radical rule:
Separate the solutions
Remove parentheses:
Add/Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Apply rule
Remove parentheses:
Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Divide the numbers:
The solutions to the quadratic equation are:
Substitute back solve for
Solve
For the solutions are
Simplify
Apply imaginary number rule:
Simplify
Apply imaginary number rule:
Solve
For the solutions are
The solutions are
Substitute back
No Solution
No Solution
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for 2sec^2(x)-tan^4(x)=-1 ?
The general solution for 2sec^2(x)-tan^4(x)=-1 is x= pi/3+pin,x=(2pi)/3+pin