What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFraction pi Over 18 EndFraction) ) gets raised to the 6thpower? modulus = StartRoot 3 EndRoot ; argument = StartFraction pi Over 18 EndFraction

modulus = StartRoot 18 EndRoot; argument = StartFraction pi Over 3 EndFraction

modulus = 27; argument = StartFraction pi Over 3 EndFraction

modulus = 729; argument = StartFraction pi Over 18 EndFraction

-- Modulus

--- Argument

Step-by-step explanation:

Given

Required

Determine the modulus and the argument

We have that:

Expand:

A complex equation can be expressed as:

Where

Where

So:

becomes

By comparison:

This gives:

Divide through by i

Hence, the modulus, z is:

And the argument is

y > 1/3x

y < = -x + 4

hope this : )

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional