Respuesta :

Answer:

Option A is correct.

[tex]\sin \frac{\pi}{3}=\frac{opposite}{Hypotenuse}=\frac{opposite}{1}=opposite[/tex]

The length opposite the angle is the vertical distance from the x-axis on the graph

Step-by-step explanation:

Given:

Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.

The angle [tex]\frac{\pi}{3}[/tex] forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).

Also, the terminal side intersect the circle at (x, y).

Now, to find the value of [tex]\sin \frac{\pi}{3}[/tex] ,we will use the trigonometric ratios formulas :

For any right angle,  [tex]Sine = \frac{opposite}{Hypotenuse}[/tex]

Here, hypotenuse = r =1 and the side opposite the angle [tex]\frac{\pi}{3}[/tex] is also called the vertical distance from the x-axis.

therefore, [tex]\sin \frac{\pi}{3} =\frac{opposite}{Hypotenuse}=\frac{opposite}{1}=opposite[/tex]

Also, the length opposite the angle is the vertical distance from the x-axis on the graph






Ver imagen OrethaWilkison
Ver imagen OrethaWilkison
jayilych4real

The answer choice that best explains the value of sin pi/3 on the unit circle below is A. [tex]sin \pi /3 = Opposite/Hypotenuse = Opposite/1 = Opposite[/tex]

Calculations and Parameters:

Given that the circle centered at the origin, (0,0) has a radius(r) i.,e r= 1.

To find the value of  we would make use of the trig formula[tex]sin \pi /3,[/tex]

This states that:

For any right angle, Sine= Opposite/Hypotenuse

Here,

  • hypotenuse = r =1
  • the side opposite the angle \pi/3 is also called the vertical distance from the x-axis.

Therefore, [tex]Sin \pi/3 = Opposite/Hypotenuse = Opposite/1[/tex]

= Opposite.

Read more about trigonometry here:
https://brainly.com/question/24349828

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