Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Use the Double Angle identity:
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:
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
tan(θ)=-(2sqrt(3))/3 sin(θ)sqrt(3)cos(x)tan(x)-cos(x)=04sin^2(θ)=3cos(2x)=sin(x)+1sec^2(x)-sec(x)-2=0
Frequently Asked Questions (FAQ)
What is the general solution for cos(2θ)-sin(θ)=0 ?
The general solution for cos(2θ)-sin(θ)=0 is θ=(3pi)/2+2pin,θ= pi/6+2pin,θ=(5pi)/6+2pin