Скачать или смотреть Sin(?) = 4 | sin() of complex number | Math 01/13

This lecture will show you, that sin(z) can be bigger than 1!!! This is a bit unusual information, but everything is possible with complex numbers!
After this lecture, you will know how to calculate arcsin() and sin() for complex numbers. It is very easy and it is possible to calculate accurately manually.
The behaviour of trigonometric functions for complex numbers is similar to real numbers, but have some serious difference.
For better understanding, you need to know, how to calculate ln(Z) – logarithm of complex numbers:    • ln(Z) | complex logarithm | logarithm of c...  

M̲̲y̲ l̲e̲c̲t̲u̲r̲e̲s̲:
▶ Math / 01 - Complex numbers:    • Math / 01 - Complex numbers  
▶ All mathematics lectures:    • Mathematics lectures  
▶ Text version: http://mycoding.uk/a/find_z_for_sin_z...

Lecture content:
0:00 – Task to solve: sin(?)=4
0:06 – sin(z), cos(z) definition via Tailor series
3:46 – Formula for sin(Z)
4:05 – Solving sin(Z) = 4
6:55 - Final answer

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