Solution
Solution
+1
Degrees
Solution steps
Solve by substitution
Let:
Move to the left side
Add to both sides
Simplify
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply exponent rule: if is even
Multiply the numbers:
Subtract the numbers:
Apply rule
Separate the solutions
Apply rule
Add the numbers:
Multiply the numbers:
Apply rule
Apply rule
Subtract the numbers:
Multiply the numbers:
Cancel the common factor:
The solutions to the quadratic equation are:
Substitute back
General solutions for
periodicity table with cycle:
Solve
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for 2cos^2(x)-3cos(x)=-1 ?
The general solution for 2cos^2(x)-3cos(x)=-1 is x=2pin,x= pi/3+2pin,x=(5pi)/3+2pin