Solution
Solution
+1
Degrees
Solution steps
Factor
Rewrite as
Apply radical rule:
Apply exponent rule:
Apply Difference of Cubes Formula:
Refine
Solving each part separately
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Factor
Factor out common term
Solving each part separately
General solutions for
periodicity table with cycle:
Solve
Divide both sides by
Divide both sides by
Simplify
Solve
Divide both sides by
Divide both sides by
Simplify
Move to the right side
Add to both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
Simplify
Cancel the common factor:
Simplify
Multiply by the conjugate
Apply exponent rule:
Join
Since the denominators are equal, combine the fractions:
Add the numbers:
Apply rule
Apply rule
Apply trig inverse properties
General solutions for
Solve
Simplify
Apply exponent rule:
Subtract the numbers:
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Solve
Simplify
Apply exponent rule:
Subtract the numbers:
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Combine all the solutions
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Apply exponent rule:
Multiply fractions:
Apply exponent rule:
Add the numbers:
Convert element to fraction:
Least Common Multiplier of
Lowest Common Multiplier (LCM)
Compute an expression comprised of factors that appear in at least one of the factored expressions
Adjust Fractions based on the LCM
Multiply each numerator by the same amount needed to multiply its
corresponding denominator to turn it into the LCM
For multiply the denominator and numerator by
For multiply the denominator and numerator by
Since the denominators are equal, combine the fractions:
Factor
Factor out common term
Solving each part separately
Apply rule
General solutions for
periodicity table with cycle:
Solve
Divide both sides by
Divide both sides by
Simplify
Solve
Divide both sides by
Divide both sides by
Simplify
No Solution
Solve by substitution
Let:
Solve with the quadratic formula
Quadratic Equation Formula:
For
Simplify
Apply radical rule:
Apply exponent rule:
Multiply fractions:
Multiply the numbers:
Multiply the numbers:
Add similar elements:
Apply radical rule:
Apply imaginary number rule:
Apply radical rule: assuming
Separate the solutions
Multiply by the conjugate
Simplify
Apply the distributive law:
Apply minus-plus rules
Apply exponent rule:
Add similar elements:
Multiply
Multiply fractions:
Multiply the numbers:
Apply exponent rule:
Join
Convert element to fraction:
Least Common Multiplier of
Least Common Multiplier (LCM)
Prime factorization of
Prime factorization of
is a prime number, therefore no factorization is possible
Prime factorization of
is a prime number, therefore no factorization is possible
Compute a number comprised of factors that appear in at least one of the following:
Multiply the numbers:
Adjust Fractions based on the LCM
Multiply each numerator by the same amount needed to multiply its
corresponding denominator to turn it into the LCM
For multiply the denominator and numerator by
Since the denominators are equal, combine the fractions:
Add the numbers:
Divide the numbers:
Rewrite in standard complex form:
Apply the fraction rule:
Factor
Factor
Cancel
Apply exponent rule:
Subtract the numbers:
Apply exponent rule:
Refine
Factor
Factor
Cancel
Apply radical rule:
Apply exponent rule:
Subtract the numbers:
Apply exponent rule: