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
4cos(2θ)=8sin^2(θ)cos(θ)=(5/(sqrt(29)))sin(θ)=(7.5)/(6.5)cos^2(x)-3/2 = 5/2 cos(x)solvefor θ,w=fdcos(θ)solve for
Frequently Asked Questions (FAQ)
What is the general solution for cos(x)+sin(x/2)=0 ?
The general solution for cos(x)+sin(x/2)=0 is x=(7pi)/3+4pin,x=(11pi)/3+4pin,x=pi+4pin