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anonymous
 one year ago
Find the product of the complex numbers. Express your answer in trigonometric form.
z1=3(cos(pi/4)+i sin(pi/4))
z2=7(cos(3pi/8)+i sin(3pi/8))
anonymous
 one year ago
Find the product of the complex numbers. Express your answer in trigonometric form. z1=3(cos(pi/4)+i sin(pi/4)) z2=7(cos(3pi/8)+i sin(3pi/8))

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tkhunny
 one year ago
Best ResponseYou've already chosen the best response.2Have you considered multiplying the leading coefficients and adding the angles?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.2Why would you do that? When you came up with 3*7, you took a value from each of z1 and z2. You should do the same with the addition.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you add 3 and 7? is that what you're saying?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.2No, Please don't reverse correct things you did already. Multiply the leading constants: 3*7  Done. Don't change that. Add the angles: ?? + ??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok I think I understand I use the unit circle to figure out the angle then I add?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.2?? The angles are given. Why do you need a unit circle? \(\dfrac{\pi}{4}+\dfrac{3\pi}{8}\)  Go!

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.2Now, if this happens to be greater than \(2\pi\), you might need that Unit Circle. What is your final answer? You have all the pieces.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So do I do 21cos(5pi/8)+i sin(5pi/8) ?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.2Not quite. The parentheses are not optional.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.021(cos(5pi/8)+i sin(5pi/8))

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.2Solve what? You are done. Move on to the next one.

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.2That's all there is to it. :)
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