Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Apply exponent rule:
Multiply fractions:
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Apply exponent rule:
Add the numbers:
Rewrite using trig identities
Use the Double Angle identity:
Simplify
Expand
Apply the distributive law:
Apply minus-plus rules
Apply exponent rule:
Add the numbers:
Add similar elements:
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Multiply the numbers:
Expand
Apply the distributive law:
Simplify
Multiply:
Apply exponent rule:
Add the numbers:
Simplify
Group like terms
Add similar elements:
Add similar elements:
Solve by substitution
Let:
Write in the standard form
Rewrite the equation with and
Solve
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply exponent rule: if is even
Multiply the numbers:
Add the numbers:
Factor the number:
Apply radical rule:
Separate the solutions
Remove parentheses:
Add the numbers:
Multiply the numbers:
Apply the fraction rule:
Divide the numbers:
Remove parentheses:
Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Cancel the common factor:
The solutions to the quadratic equation are:
Substitute back solve for
Solve
For the solutions are
Simplify
Apply radical rule:
Apply imaginary number rule:
Simplify
Simplify
Apply radical rule:
Apply imaginary number rule:
Solve
For the solutions are
Apply radical rule: assuming
Factor the number:
Apply radical rule:
Simplify
Apply radical rule: assuming
Factor the number:
Apply radical rule:
The solutions are
Substitute back
No Solution
No Solution
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Combine all the solutions