When we learn about trigonometry in school, all we can think about is relations with sides of triangle and projection to the axes from **unit** **circle** as fallows.

The two **right**-**angled triangle **can seen. We will look at which has a side on x axis. We can clearly see from Pythagorean theorem that sin²(Ɵ)+cos²(Ɵ)=1.

But what manipulation of space. Well , to do that we need to see points as two separate ( cause of two dimension) real numbers. Like (x,y). Now we can do basic transformations along axes. Like if we want to move along x-axis 1 unit just…