Solution
Solution
Solution steps
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
Remove parentheses:
Multiply
Multiply fractions:
Simplify
Apply rule
Multiply fractions:
Divide the numbers:
Rewrite in standard complex form:
Apply the distributive law:
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Frequently Asked Questions (FAQ)
What is the value of 4(cos((7pi)/4)+isin((7pi)/4)) ?
The value of 4(cos((7pi)/4)+isin((7pi)/4)) is 2sqrt(2)-2sqrt(2)i