Solution
Solution
+1
Degrees
Solution steps
Solve by substitution
Let:
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 rule
Multiply the numbers:
Add the numbers:
Factor the number:
Apply radical rule:
Separate the solutions
Add/Subtract the numbers:
Multiply the numbers:
Cancel the common factor:
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:
Combine all the solutions
Popular Examples
sin(2x)-2cos(x)=0sin^2(θ)-cos^2(θ)=1+cos(θ),0<= θ<2picsc(x)= 1/2sin^2(θ)-sin(θ)=02cos^2(x)-1=0,0<= x<2pi
Frequently Asked Questions (FAQ)
What is the general solution for cos(θ)+2cos^2(θ)=1 ?
The general solution for cos(θ)+2cos^2(θ)=1 is θ= pi/3+2pin,θ=(5pi)/3+2pin,θ=pi+2pin