Solution
Solution
+1
Degrees
Solution steps
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Rewrite using trig identities
Use the Double Angle identity:
Factor
Rewrite as
Factor out common term
Solving each part separately
General solutions for
periodicity table with cycle:
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
Combine all the solutions