Question

Modulus of 1+i tan alpha, where (π/2

Answer 1

Answer:

$|z|=sec\alpha$

Step-by-step explanation:

Formula used:

The modulus of a complex number z=x+iy is defined as $|z|=\sqrt{x^2+y^2}$

Let $z=1+itan\alpha$

Then,

$|z|=\sqrt{1^2+tan^2\alpha}$

$|z|=\sqrt{1+tan^2\alpha}$

$|z|=\sqrt{sec^2\alpha}$

$|z|=sec\alpha$