Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Group like terms
Add similar elements:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Multiply the numbers:
Add the numbers:
Prime factorization of
divides by
divides by
divides by
divides by
are all prime numbers, therefore no further factorization is possible
Apply exponent rule:
Apply radical rule:
Apply radical rule:
Apply radical rule:
Refine
Separate the solutions
Remove parentheses:
Multiply the numbers:
Apply the fraction rule:
Cancel
Factor
Rewrite as
Factor out common term
Cancel the common factor:
Remove parentheses:
Multiply the numbers:
Apply the fraction rule:
Factor
Rewrite as
Factor out common term
Cancel the common factor:
The solutions to the quadratic equation are:
Substitute back
Apply trig inverse properties
General solutions for
Apply trig inverse properties
General solutions for
Combine all the solutions
Show solutions in decimal form