Sketching loci on argand diagram

[unkempt dove]

I need help with question C and the process of the steps please

(c)

@dry drift

[gritty meadow]

i got 2arcsin(2/root(34))

do i need to add or subtract by pi?

forgot about this part

[dry drift]

You want the line from the origin to the point z that produces the maximum argument to be a tangent to the circle

[unkempt dove]

I dont know what arcsin is yet i dont think ive done taht yet

[unkempt dove]

since its in fourth quadrant im prettys ure its would be negative

[unkempt dove]

yeah i fffound distance

[dry drift]

sin^-1

You would have done it at gcse

[unkempt dove]

Ohh is that the same thing

[gritty meadow]

yes

[gritty meadow]

yes

[unkempt dove]

How did you guys solve

[gritty meadow]

wanna confirm the solution does it have it in the ms?

[unkempt dove]

I can’t identify the max arg

It doesn’t have ms cuz it’s old booklet

[gritty meadow]

damn

[unkempt dove]

Which angle is the max argument

I found distance from origin to centre of circle,e and then found angle of C

Centre

[gritty meadow]

here is how i did it

[unkempt dove]

how did you do it SOE ASILY

DAMN

i still dont understand would it be a different method if we were finding the minimum argument

i dont know what the max argument is

[deft python]

They ask for max value of argz no so wouldn’t you not have to find the angle from the centre to the real axis and subtract that by ur answer

[unkempt dove]

did you label the two angles different

[deft python]

It’s just using rules of circles that ur taught in circle theorems

[unkempt dove]

ohh

[gritty meadow]

oh you mean

[deft python]

Just applied to complex numvers

[deft python]

Ur value is right

[gritty meadow]

-arctan(5/3) + 2arcsin(2/root(34))

[unkempt dove]

what is the max argument though

[deft python]

Yh

[gritty meadow]

oh yh

[gritty meadow]

you find the angle for 3, -5

for that

[gritty meadow]

after you found this

[deft python]

The max argument will be the

[unkempt dove]

-0.33 radians

[deft python]

This

[unkempt dove]

AHH Thank you so m uch

[deft python]

Nws

[gritty meadow]

yhh

[deft python]

Construct a right angle triangle from the centre to the real axis

Find the angle of that

[deft python]

And subtract by nikolas answer if u consider it as positive

If u consider it as negative in terms of an argument

Then add it

And that’s ur answer

[unkempt dove]

If we were finding minimum how would it be different

Like the minimum argument

[deft python]

Minimum is the bigger looking angle

Since although it’s a bigger angle

It’s a lower number

[unkempt dove]

Oh alr

[deft python]

Since -40 < -#0

-20

On the number line

For example

So for example if we were talking about -20 and -40, -20 is the max and -40 is the minimum

[gritty meadow]

yh now it makes sence

havent done this in a long time

[deft python]

Since when talking about maximums and minimums it’s not about magnitude

[deft python]

It’s not a hard topic it’s just very easy to make silly mistakes in

Ibr

[gritty meadow]

oh nahh

cause i am in uni

havent done that part fo some time

[deft python]

Yh prob had to refresh ur memory

[gritty meadow]

yh

[unkempt dove]

damn you guys fffid it easy bruh

I find it such a hard topic

find

[gaunt zenith]

at first its hard but it gets easier

just like gcse maths u found at least one thing hard at first (maybe) but now it must be a walk in the park

anyways do u need any more help or can i close