Question

Convert complex number to trigonometric form

Answer 1

\[ (\tan 1 - {\rm i})^4 \]

Answer 2

so far i get:
if \[z = \tan 1 - {\rm i}\]
then
\[ |z| = \sqrt{\tan^21 + 1} \]
and from \[ \tan^2 x + 1 = \frac{1}{\cos^2 x} \]
I get that \[ |z| = \frac{1}{\cos 1} \]

therefore

\[ \cos \varphi = \frac{\tan 1}{\frac{1}{\cos 1}} \]
\[ \cos \varphi = \sin 1 \]

and

\[ \sin \varphi = - \frac{1}{\frac{1}{\cos 1}} \]
\[ \sin \varphi = - \cos 1 \]

But now I don't know how to continue.

Answer 3

|z|=1/cos1 =sec 1

Answer 4

will not you answer terminate here itself

Answer 5

no, I just solve that.

Answer 6

should i write here the whole solution?

Answer 7

hw did you proceed the first step!!

Answer 8

|z|=sqrt(tan1 -1) is this step correct??????