Algebra
# Polar Coordinates

$r = e ^ \theta$. Its shape resembles that of the Nautilus Shell, hence its name.

The Nautilus Spiral is given by the polar coordinatesWhich of the following statements about this curve is **false**?

$\large \ln\left(\dfrac{\omega^\omega}{\omega^{\omega^2}}\right)$

If $\omega$ is a non-real complex cube root of unity, then what is the value of the expression above?

$\large \ln {( i) } = \ ?$

What do we obtain when we multiply the polar coordinates:

$( r_1 , \theta _1 ) \times ( r_2 , \theta _2 ) ?$