Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Multiply the numbers:
Simplify
Group like terms
Add/Subtract the numbers:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply exponent rule: if is even
Apply rule
Multiply the numbers:
Add the numbers:
Factor the number:
Apply radical 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:
Solve
Divide both sides by
Divide both sides by
Simplify
General solutions for
periodicity table with cycle:
Solve
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Apply the fraction rule:
Multiply the numbers:
Divide the numbers:
Solve
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Apply the fraction rule:
Multiply the numbers:
Divide the numbers:
Combine all the solutions
Popular Examples
2*cos(x)-1=0cos(x)+sqrt(3)sin(x)=22sin(θ)=-sqrt(2),0<= θ<2pisolvefor y,x=arcsin(y^2)solve for cos^2(2x)+cos(2x)-3/4 =0
Frequently Asked Questions (FAQ)
What is the general solution for 2sin^2(2x)-cos(2x)-1=0 ?
The general solution for 2sin^2(2x)-cos(2x)-1=0 is x= pi/2+pin,x= pi/6+pin,x=(5pi)/6+pin