Solution
Solution
+1
Degrees
Solution steps
Solve by substitution
Let:
Move to the left side
Subtract from both sides
Simplify
Move to the left side
Subtract from both sides
Simplify
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply exponent rule: if is even
Multiply the numbers:
Subtract the numbers:
Apply rule
Separate the solutions
Remove parentheses:
Add the numbers:
Multiply the numbers:
Apply the fraction rule:
Apply rule
Remove parentheses:
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:
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
cos(x)cos(2x)+sin(x)sin(2x)= 1/22csc^2(x)-3csc(x)-2=0csc(x)= 2/(sqrt(3))8-7cos(x)=6sin^2(x)2=4cos^2(x)+1
Frequently Asked Questions (FAQ)
What is the general solution for -2sin^2(x)=3sin(x)+1 ?
The general solution for -2sin^2(x)=3sin(x)+1 is x=(3pi)/2+2pin,x=(7pi)/6+2pin,x=(11pi)/6+2pin