Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Pythagorean identity:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply rule
Apply rule
Add the numbers:
Apply 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:
Apply rule
The solutions to the quadratic equation are:
Substitute back
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Solve
Combine all the solutions
Popular Examples
cos^2(x)-sin^2(x)=1sin^2(x)-2sin(x)-3=02cos(x)+sin(2x)=0,0<= x<= 2pitan^2(x)sin(x)=sin(x)2sin(2x)-sqrt(3)=0
Frequently Asked Questions (FAQ)
What is the general solution for sin^2(x)+cos(x)=1 ?
The general solution for sin^2(x)+cos(x)=1 is x= pi/2+2pin,x=(3pi)/2+2pin,x=2pin