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:
Add the numbers:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
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:
Cancel the common factor:
The solutions to the quadratic equation are:
Substitute back
General solutions for
periodicity table with cycle:
No Solution
Combine all the solutions
Popular Examples
6sin^2(θ)-17sin(θ)+14=-4sin(θ)+9sin(x)-2sin(x)cos(x)=0,0<= x<= 2picos(x+pi)-cos(x)-1=0sin(x)= 15/172cos(x)-sec(x)=1
Frequently Asked Questions (FAQ)
What is the general solution for 2cos(2x)+4sin(x)+1=0 ?
The general solution for 2cos(2x)+4sin(x)+1=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin