Determine the values of $ an( heta)$ in each quadrant on the unit circle
Answer 1
Samuel Scott
To determine the values of $\tan(\theta)$ in each quadrant on the unit circle, we use the properties of trigonometric functions:
In Quadrant I, where both sine and cosine are positive:
$ \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} > 0 $
In Quadrant II, where sine is positive and cosine is negative:
$ \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} < 0 $
In Quadrant III, where both sine and cosine are negative:
$ \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} > 0 $
In Quadrant IV, where sine is negative and cosine is positive:
$ \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} < 0 $
Answer 2
Charlotte Davis
To find the values of $ an( heta)$ in each quadrant, consider the signs of sine and cosine:
$ an( heta) = frac{sin( heta)}{cos( heta)} $
In Quadrant I, both sine and cosine are positive, so:
$ an( heta) > 0 $
In Quadrant II, sine is positive and cosine is negative, so:
$ an( heta) < 0 $
In Quadrant III, both sine and cosine are negative, so:
$ an( heta) > 0 $
In Quadrant IV, sine is negative and cosine is positive, so:
$ an( heta) < 0 $
Answer 3
Ava Martin
To find the values of $ an( heta)$ in each quadrant, use:
$ an( heta) = frac{sin( heta)}{cos( heta)} $
Quadrant I: $ an( heta) > 0 $
Quadrant II: $ an( heta) < 0 $
Quadrant III: $ an( heta) > 0 $
Quadrant IV: $ an( heta) < 0 $
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