Question

What is polar representation of complex numbers???​

Answer 1

Answer:

The polar form of a complex number is another way to represent a complex number. The form z=a + bi is called the rectangular coordinate form of a complex number. The horizontal axis is the real axis and the vertical axis is the imaginary axis.

Step-by-step explanation:

$\red{For\:\:Example:-$

Express the complex number in polar form $5+2i$

The polar form of a complex number z=a+bi is z=r(cosθ + i sinθ) .

So, first find the absolute value of r

$r = \sqrt{a^2+b^2}$

$r = \sqrt{5^2+2^2}$

$r = \sqrt{25+4}$

$r = \sqrt{29}$

$r\approx 5.39$

Now find the argument θ .

Since a > 0 , use the formula θ=tan−1(b/a) .

θ $= tan^{-1}(\frac{2}{5})$

$\approx 0.38$

Therefore, the polar form of 5+2i is about 5.39(cos(0.38)+isin(0.38)) .

Answer 2

Answer:

Cos xyz

sin abc

cot ghj

tan gjj