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anonymous
 5 years ago
a) Find all fourth roots of 1 in polar form.
b) Express them in Cartesian form.
c) Show how they can be expressed as powers of one fixed fourth root of 1.
anonymous
 5 years ago
a) Find all fourth roots of 1 in polar form. b) Express them in Cartesian form. c) Show how they can be expressed as powers of one fixed fourth root of 1.

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.04th roots in polar form divide the unit circle into 4 equal parts.... so 90 degree seperations

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0since the any root of 1 = 1; im assuming they want (1,1) (1,1) (1,1) (1,1) as answers

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0I was thinking \(\sqrt[4]{x}\) at \(x=1\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but i guess it is x=1^(1/4) this is what we call four forth root of 1

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if we go with the i stuff; its the 90s and thats prolly the better interpretatio

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0there is no pi in the cartesian; just your 1s and 0s for your intercepts

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(1,0) (0,1) (1,0) (0,1)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0but what 'c' is asking for I dunno

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0maybe \((10i)^{1/4}\) ?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0or is it simply \(i^4\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i cant guess any idea

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0im thinking the first since that implies a complex plane and 4 roots

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but how (1,0) and(0,1)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\((1+0i)^4\) maybe? if forget if its ^4 or ^(1/4) that pops out 4 times

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\(sqrt{6}\) has complex roots right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0look...when we talk about the cube roots of 1 , how we express it? x=1^1/3..no?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0n for forth root it is x=1^1/4

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0sqrt(9) = 3i and we can find both those roots in the complex plane ... gonna have to dbl chk with the wolfram :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for x=1 r=1 and theta =0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x=1 r=1, theta =pi 1=cospi

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.04th roots of 1 are 1, 1, i, 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you know one answer is 1. divide unit circle (in complex plane) into 4 equal parts and you will see i, 1, i

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh yes they are all powers of i

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i, i^2, i^3, i^4 finito

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no question says" Show how they can be expressed as powers of one fixed fourth root of 1."

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that fixed root is i.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you cannot express i as a power of 1. i assume they mean integral powers
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