Solution
Solution
+1
Degrees
Solution steps
Let:
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 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:
General solutions for
periodicity table with cycle:
Combine all the solutions
Substitute back
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:
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:
Multiply both sides by
Multiply both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Multiply fractions:
Cancel the common factor:
Multiply the numbers:
Popular Examples
sin^2(x)+cos(x)=1cos^2(x)-sin^2(x)=1sin^2(x)-2sin(x)-3=02cos(x)+sin(2x)=0,0<= x<= 2pitan^2(x)sin(x)=sin(x)
Frequently Asked Questions (FAQ)
What is the general solution for sin(x/2)+cos(x)=0 ?
The general solution for sin(x/2)+cos(x)=0 is x=(7pi)/3+4pin,x=(11pi)/3+4pin,x=pi+4pin