Which of the following best explains the value of on the unit circle below?

Asked by maham237 @ 23/12/2020 in Mathematics viewed by 301 People

Answered by maham237 @ 23/12/2020

Answer:

Option A is correct.

$\sin \frac{\pi}{3}=\frac{opposite}{Hypotenuse}=\frac{opposite}{1}=opposite$

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 $\frac{\pi}{3}$ 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 $\sin \frac{\pi}{3}$ ,we will use the trigonometric ratios formulas :

For any right angle, $Sine = \frac{opposite}{Hypotenuse}$

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

therefore, $\sin \frac{\pi}{3} =\frac{opposite}{Hypotenuse}=\frac{opposite}{1}=opposite$

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

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