What is the equation of points (8,16)

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Ответ:

joree

13.05.2021

Mathematics

Step-by-step explanation:

Given: One complex number is $z_{1}=r_{1}(cos{\theta}_{1}+isin{\theta}_{1})$ and the another complex number is $z_{2}=r_{2}(cos{\theta}_{2}+isin{\theta}_{2})$

To find: The product of the two complex numbers.

Solution:

One complex number is $z_{1}=r_{1}(cos{\theta}_{1}+isin{\theta}_{1})$ and the another complex number is $z_{2}=r_{2}(cos{\theta}_{2}+isin{\theta}_{2})$ , the product of two complex numbers is given as:

$z_{1}\times}z_{2}=(r_{1}(cos{\theta}_{1}+isin{\theta}_{1}){\times}r_{2}(cos{\theta}_{2}+isin{\theta}_{2}))$

$z_{1}z_{2}=r_{1}r_{2}(cos{\theta}_{1}+isin{\theta}_{1})(cos{\theta}_{2}+isin{\theta}_{2})$

$z_{1}z_{2}=r_{1}r_{2}(cos({\theta}_{1}+{\theta}_{2})+isin(({\theta}_{1}+{\theta}_{2}))$

which is the required product of the two given complex numbers.

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