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 rule
Multiply the numbers:
Add the numbers:
Factor the number:
Apply radical rule:
Separate the solutions
Remove parentheses:
Add/Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Cancel the common factor:
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:
Solutions for the range
General solutions for
periodicity table with cycle:
Solutions for the range
Combine all the solutions
Popular Examples
cot(x)=-1,0<= x<= 2pi(2cos(x)-sqrt(2))(2sin(x)+sqrt(2))=04sec^2(x)-3=0cos^2(x)= 1/4 ,0<= x<= 2pisin(θ)=-4/9
Frequently Asked Questions (FAQ)
What is the general solution for 2cos^2(x)+sin(x)-1=0,0<= x<2pi ?
The general solution for 2cos^2(x)+sin(x)-1=0,0<= x<2pi is x=(7pi)/6 ,x=(11pi)/6 ,x= pi/2