Solution
Solution
+1
Degrees
Solution steps
Let:
Rewrite using trig identities
Use the Double Angle identity:
Simplify
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply rule
Apply rule
Add the numbers:
Apply rule
Separate the solutions
Remove parentheses:
Add/Subtract 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
General solutions for
periodicity table with cycle:
Combine all the solutions
Substitute back
Multiply both sides by
Multiply both sides by
Simplify
Multiply both sides by
Multiply both sides by
Simplify
Multiply both sides by
Multiply both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Multiply fractions:
Cancel the common factor:
Multiply the numbers:
Multiply both sides by
Multiply both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Multiply fractions:
Multiply the numbers:
Cancel the common factor:
Multiply the numbers:
Popular Examples
sqrt(3)sin(x)sec(x)=2sin(x)solvefor y,x=sin(y)solve for 2sin(x/2)+sqrt(3)=02cos^2(x)+3sin(x)=0tan(3x)-1=0
Frequently Asked Questions (FAQ)
What is the general solution for sin(x/2)+cos(x)-1=0 ?
The general solution for sin(x/2)+cos(x)-1=0 is x=4pin,x=2pi+4pin,x= pi/3+4pin,x=(5pi)/3+4pin