Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Use the Double Angle identity:
Simplify
Expand
Apply the distributive law:
Simplify
Multiply the numbers:
Multiply the numbers:
Simplify
Group like terms
Subtract the numbers:
Solve by substitution
Let:
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
Apply trig inverse properties
General solutions for
General solutions for
periodicity table with cycle:
Combine all the solutions
Show solutions in decimal form
Popular Examples
0.79=sin(x)1+cot(x)=csc(x)4cos^2(x)-4sqrt(2)cos(x)+2=0sin((2pi)/3-x)+sin((2pi)/3+x)=0sin(θ)cos(θ)=cot(θ)
Frequently Asked Questions (FAQ)
What is the general solution for 2cos(2x)+cos(x)-1=0 ?
The general solution for 2cos(2x)+cos(x)-1=0 is x=0.72273…+2pin,x=2pi-0.72273…+2pin,x=pi+2pin