Respuesta :
Using the tangent equation and reference angles, it is found that the correct option is given by:
The angles do not have the same reference angle.
What is the tangent of angle?
It is given by the sine divided by the cosine. For angles that are not on the first quadrant, we can also finding their tangent by using their reference angles, considering the signs according to the quadrant of the angles.
Angle [tex]\frac{5\pi}{6}[/tex] is on the second quadrant, and the reference angle is:
[tex]\pi - \frac{5\pi}{6} = \frac{6\pi}{6} - \frac{5\pi}{6} = \frac{\pi}{6}[/tex]
Angle [tex]\frac{5\pi}{3}[/tex] is on the fourth quadrant, and the reference angle is:
[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]
Different reference angles, hence different values for sine and cosine, and different value for the tangent.
Both [tex]\frac{5\pi}{3}[/tex] and [tex]\frac{5\pi}{6}[/tex] are positive measures, hence the only reason is the difference reference angles.
More can be learned about reference angles at https://brainly.com/question/14910565
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Answer:
The angle do not have the same reference angle.
Step-by-step explanation:
A correct on edg
