Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Apply minus-plus rules
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
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
3tan(2x)+sqrt(3)=0,0<= x<2pisin(2x)-sin(x)cos(x)=cos(x)cot^2(x)=1-csc(x)2sin^2(θ)+9sin(θ)-5=0sin(x)tan(x)-sin(x)=0
Frequently Asked Questions (FAQ)
What is the general solution for cos(x)-2sin^2(x)+1=0 ?
The general solution for cos(x)-2sin^2(x)+1=0 is x= pi/3+2pin,x=(5pi)/3+2pin,x=pi+2pin