Solution
Solution
Solution steps
Simplify
Rewrite in standard complex form:
Apply the distributive law:
Use the following property:
Use the following property:
Simplify
Rewrite using trig identities:
Rewrite using trig identities:
Write as
Use the Angle Sum identity:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Simplify
Rewrite using trig identities:
Rewrite using trig identities:
Write as
Use the Angle Sum identity:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Simplify
Simplify
Apply rule
Multiply fractions:
Cancel the common factor:
Multiply:
Multiply fractions:
Cancel the common factor:
Apply radical rule:
Popular Examples
Frequently Asked Questions (FAQ)
What is the value of 2sqrt(3)(cos(-(5pi)/3)+isin(-(5pi)/3)) ?
The value of 2sqrt(3)(cos(-(5pi)/3)+isin(-(5pi)/3)) is sqrt(3)+3i