Solution
solve for
Solution
Solution steps
Switch sides
Subtract from both sides
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Rewrite using trig identities
Use the basic trigonometric identity:
Simplify
Multiply fractions:
Multiply:
Multiply fractions:
Multiply the numbers:
Combine the fractions
Apply rule
Solve by substitution
Let:
Multiply both sides by
Multiply both sides by
Simplify
Simplify
Multiply fractions:
Cancel the common factor:
Simplify
Apply exponent rule:
Add the numbers:
Simplify
Apply rule
Solve
Move to the right side
Add to both sides
Simplify
Move to the right side
Subtract from both sides
Simplify
For the solutions are
Substitute back
Apply trig inverse properties
General solutions for
Apply trig inverse properties
General solutions for
Combine all the solutions