A community for students.
Here's the question you clicked on:
← 55 members online
 0 viewing
agillogly
 2 years ago
write (cos pi/4+ i sin pi/4)^3 in trigonometric form
agillogly
 2 years ago
write (cos pi/4+ i sin pi/4)^3 in trigonometric form

This Question is Closed

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0multiply the angle by three

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0\[\cos(\frac{3\pi}{4})+i\sin(\frac{3\pi}{4})\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0you also have to cube the modulus, but since it is one you just get one, so you can ignore that part now if you want to write this in standard form as \(a+bi\) evaluate the functions and see what you get

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0\[(\cos(\theta)+i\sin(\theta))^n=\cos(n\theta)+i\sin(n\theta)\] that is what makes this so easy
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.