Question

Find modulus and amplitude of the complex number -2i
-1-i

$- 1 - \sqrt{3i}$
​

Answer 1

Correct Question:

Find the modulus and amplitude of given complex number: -2i

Solution:

1) Let z = 0-2i..........[1] be the given complex number

Here,

x=0 and y= -2

Range or Modulus of Z:

$\sf{ \sqrt{x {}^{2} + y {}^{2}}} \\ \\ = \sqrt{0 {}^{2} + ( - 2) {}^{2} } \\ \\ = \sqrt{4} \\ \\ = \boxed{{2}}$

Thus,r=2

Consider z = r(cos∅+i sin∅).................[2]

Comparing the coefficients of both the equations,

r cos∅=0 and r sin∅= -2

→2cos∅=0 and 2sin∅= -2

→cos∅=0 and sin∅= -1

Since sin∅ is negative and cos∅ is positive,∅ lies in fourth quadrant

∅= -@

= -π/2

Answer 2

Answer:

1) Find the modulus and amplitude for each of

the following complex numbers.

i) -3(1-i)2. Name any one function called from the header file, conio.h1. What is the storage size of float ?5. The printf() function starts examining the written data from left to right.3. C is Case sensitive.2. Write a C program to read two numbers and find the product.1. Write a C program to swap two numbers.