Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Multiply:
Add similar elements:
Solve by substitution
Let:
Move to the right side
Subtract from both sides
Simplify
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
Simplify
Apply the fraction rule:
Divide the numbers:
Cancel the common factor:
Simplify
Apply rule
Apply the fraction rule:
Rationalize
Multiply by the conjugate
Apply the distributive law:
Simplify
Multiply:
Apply radical rule:
Apply exponent rule:
Add similar elements:
Multiply fractions:
Cancel the common factor:
Add the numbers:
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:
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