Solution
Solution
+1
Degrees
Solution steps
Let:
Rewrite using trig identities
Use the Double Angle identity:
Distribute parentheses
Apply minus-plus rules
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
Substitute back
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:
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
Frequently Asked Questions (FAQ)
What is the general solution for sin(θ/2)-cos(θ)=0 ?
The general solution for sin(θ/2)-cos(θ)=0 is θ= pi/3+4pin,θ=(5pi)/3+4pin,θ=3pi+4pin