Solution
Solution
Solution steps
Use the Hyperbolic identity:
Simplify
Apply imaginary number rule:
Apply imaginary number rule:
Apply exponent rule:
Multiply fractions:
Multiply:
Remove parentheses:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Apply exponent rule:
Add the numbers:
Expand
Expand
Apply the distributive law:
Distribute parentheses
Apply minus-plus rules
Apply the fraction rule:
Rewrite in standard complex form:
Apply the fraction rule:
Group like terms
Cancel
Cancel
Apply exponent rule:
Subtract the numbers:
Cancel
Cancel
Apply exponent rule:
Subtract the numbers:
Group the real part and the imaginary part of the complex number
Least Common Multiplier of
Lowest Common Multiplier (LCM)
Least Common Multiplier of
Least Common Multiplier (LCM)
Prime factorization of
is a prime number, therefore no factorization is possible
Prime factorization of
is a prime number, therefore no factorization is possible
Multiply each factor the greatest number of times it occurs in either or
Multiply the numbers:
Compute an expression comprised of factors that appear either in or
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:
Least Common Multiplier of
Lowest Common Multiplier (LCM)
Least Common Multiplier of
Least Common Multiplier (LCM)
Prime factorization of
is a prime number, therefore no factorization is possible
Prime factorization of
is a prime number, therefore no factorization is possible
Multiply each factor the greatest number of times it occurs in either or
Multiply the numbers:
Compute an expression comprised of factors that appear either in or
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:
Use the following property:
Use the following property:
Simplify
Popular Examples
Frequently Asked Questions (FAQ)
What is the value of sinh(2-3i) ?
The value of sinh(2-3i) is (-cos(3)+e^4cos(3))/(2e^2)+i(-sin(3)-e^4sin(3))/(2e^2)