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Find the value of $ an( heta)$ using the unit circle

Answer 1

Abigail Nelson

Matthew Carter

To find the value of $\tan(\theta)$ using the unit circle, we need to know the coordinates of the point on the unit circle that corresponds to the angle $\theta$.

On the unit circle, the coordinates of a point can be given as $(\cos(\theta), \sin(\theta))$.

The tangent of the angle $\theta$ is given by:

$ \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} $

Hence, if we know $\cos(\theta)$ and $\sin(\theta)$, we can find $\tan(\theta)$ by dividing $\sin(\theta)$ by $\cos(\theta)$.

Answer 2

Alex Thompson

Alex Thompson

To find the value of $ an( heta)$ using the unit circle, locate the point on the unit circle at the angle $ heta$.

The coordinates of this point are $(cos( heta), sin( heta))$.

The tangent function is defined as:

$ an( heta) = frac{sin( heta)}{cos( heta)} $

Therefore, if we have the values of $cos( heta)$ and $sin( heta)$, we can compute $ an( heta)$.

Answer 3

Amelia Mitchell

Emily Hall

To find the value of $ an( heta)$ using the unit circle, use the coordinates $(cos( heta), sin( heta))$.

Then,

$ an( heta) = frac{sin( heta)}{cos( heta)} $