FP2 Mod/Arg Complex number help Watch

bobbricks
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Find the modulus and argument of each of the complex numbers z1 and z2 where z1=(1+i)/(1-i) and z2=(root2)/(1-i)

Plot the points representing z1, z2, and z1+z2 on an Argand diagram.

Deduce from your diagram that tan(3pi/8)=1+root2

My answers so far:
z1= i
mod(z1)= 1

z2= 1/root2 +i/root2
mod(z2)=1

How do I use this to show that
tan(3pi/8)=1+root2
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TeeEm
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(Original post by bobbricks)
Find the modulus and argument of each of the complex numbers z1 and z2 where z1=(1+i)/(1-i) and z2=(root2)/(1-i)

Plot the points representing z1, z2, and z1+z2 on an Argand diagram.

Deduce from your diagram that tan(3pi/8)=1+root2

My answers so far:
z1= i
mod(z1)= 1

z2= 1/root2 +i/root2
mod(z2)=1

How do I use this to show that
tan(3pi/8)=1+root2


look at the link for a similar question

http://madasmaths.com/archive_maths_...s_various.html

FILE NAME

complex_numbers_part_1_exam_ques tions

question 37


(did you manage the previous one?/ I dit it my way and your way and got the same answer)
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tombayes
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(Original post by bobbricks)
Find the modulus and argument of each of the complex numbers z1 and z2 where z1=(1+i)/(1-i) and z2=(root2)/(1-i)

Plot the points representing z1, z2, and z1+z2 on an Argand diagram.

Deduce from your diagram that tan(3pi/8)=1+root2

My answers so far:
z1= i
mod(z1)= 1

z2= 1/root2 +i/root2
mod(z2)=1

How do I use this to show that
tan(3pi/8)=1+root2
plot the points, join the dots, one of the angles is related to what you want.
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