How to find $sin$, $cos$, and $ an$ for an angle using the unit circle?
Answer 1
James Taylor
To find the sine, cosine, and tangent of an angle using the unit circle, follow these steps:
1. Locate the angle on the unit circle.
2. Identify the coordinates $(x, y)$ of the point where the terminal side of the angle intersects the unit circle.
3. The coordinates correspond to $\cos(\theta)$ and $\sin(\theta)$ respectively:
$ \cos(\theta) = x $
$ \sin(\theta) = y $
4. Calculate $\tan(\theta)$ as follows:
$ \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} = \frac{y}{x} $
Answer 2
Henry Green
To find $sin$, $cos$, and $ an$ from the unit circle:
1. Find the point $(x, y)$ on the unit circle corresponding to the angle $ heta$.
2. The x-coordinate is $cos( heta)$, and the y-coordinate is $sin( heta)$:
$ cos( heta) = x $
$ sin( heta) = y $
3. Determine $ an( heta)$:
$ an( heta) = frac{y}{x} $
Answer 3
Emma Johnson
Find $sin$, $cos$, and $ an$ using the unit circle:
1. Locate $(x, y)$ on the circle.
2. $cos( heta) = x$, $sin( heta) = y$.
3. $ an( heta) = frac{y}{x}$.
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