Solution
Solution
+1
Degrees
Solution steps
Solve by substitution
Let:
For the solutions are
Simplify
Multiply fractions:
Apply radical rule: assuming
Apply rule
Multiply
Multiply fractions:
Multiply:
Remove parentheses:
Apply the fraction rule:
Rationalize
Multiply by the conjugate
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:
Factor
Factor
Cancel
Apply exponent rule:
Subtract the numbers:
Apply exponent rule:
Refine
Apply the fraction rule:
Multiply by the conjugate
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:
Multiply by the conjugate
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:
Simplify
Multiply fractions:
Apply radical rule: assuming
Apply rule
Multiply
Multiply fractions:
Multiply:
Remove parentheses:
Apply the fraction rule:
Rationalize
Multiply by the conjugate
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:
Factor
Factor
Cancel
Apply exponent rule:
Subtract the numbers:
Apply exponent rule:
Refine
Apply the fraction rule:
Multiply by the conjugate
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:
Multiply by the conjugate
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:
Substitute back
Apply trig inverse properties
General solutions for
No Solution
No Solution
Combine all the solutions
Show solutions in decimal form
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for cos^3(x)= 1/2 ?
The general solution for cos^3(x)= 1/2 is x=0.65392…+2pin,x=2pi-0.65392…+2pin