Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the following identity:
Use the Double Angle identity
Switch sides
Add to both sides
Divide both sides by
Simplify
Multiply
Multiply fractions:
Cancel the common factor:
Combine the fractions
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Expand
Distribute parentheses
Apply minus-plus rules
Simplify
Group like terms
Add similar elements:
Solve by substitution
Let:
Multiply both sides by
Multiply both sides by
Simplify
Solve with the quadratic formula
Quadratic Equation Formula:
For
Multiply the numbers:
Subtract the numbers:
Apply rule
Separate the solutions
Add/Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Apply rule
Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Cancel the common factor:
The solutions to the quadratic equation are:
Substitute back
General solutions for
periodicity table with cycle:
No Solution
Combine all the solutions
Popular Examples
2cos^2(x)-4cos(x)+2=0cos^2(x)-sin^2(x)=1-2sin(x)cos(x)=-0.342sin^2(x)=3sin(x)-12cos(x)sin(x)-sin(x)=0
Frequently Asked Questions (FAQ)
What is the general solution for cos^2(x)+2cos(x)=sin^2(x/2)-2 ?
The general solution for cos^2(x)+2cos(x)=sin^2(x/2)-2 is x=pi+2pin