Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Given that
∣
z
−
1
∣
=
1
|z - 1| = 1
∣
z
−
1∣
=
1
, where
z
z
z
is a point on the argand plane, show that
z
−
2
z
=
i
tan
(
arg
z
)
\frac{z-2}{z} = i \tan(\arg z)
z
z
−
2
=
i
tan
(
ar
g
z
)
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
.
Browse the problem library