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Create a colorful circle pattern using points on the unit circle with $cos( heta)$ and $sin( heta)$

Answer 1

Abigail Nelson

John Anderson

To create a colorful circle pattern, you can use points on the unit circle defined by $\cos(\theta)$ and $\sin(\theta)$ where

txt1

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\leq \theta \leq 2\pi$. Each point coordinates can be calculated as:

$ x = \cos(\theta) $

$ y = \sin(\theta) $

For instance, if you plot points for $\theta$ in multiples of $\frac{\pi}{6}$, you will get 12 equally spaced points around a circle.

Answer 2

Alex Thompson

Olivia Lee

Use $cos( heta)$ and $sin( heta)$ to plot points on the unit circle for $ heta$ ranging from

txt2

txt2

txt2

$ to $2pi$. Calculate the coordinates:

$ x = cos( heta) $

$ y = sin( heta) $

Plot points at intervals like $ heta = 0, frac{pi}{6}, frac{pi}{3}, … , 2pi$ to get a circular pattern.

Answer 3

Amelia Mitchell

James Taylor

Plot points using $cos( heta)$ and $sin( heta)$ for $ heta$ in $[0, 2pi]$:

$ x = cos( heta) $

$ y = sin( heta) $