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What are the coordinates of the point where the terminal side of a 60° angleintersects the unit circle?

What are the coordinates of the point where the terminal side of a 60° angleintersects-example-1
User Gtangil
by
7.8k points

1 Answer

4 votes

From the given question,

The given angle is 60 degree.

Now,

Find the x coordinate of the point where the terminal side intersects the unit circle.

So,

We know that the x-coordinate on unit circle represent the cosine and y-coordinate represent the sine function of the given angle.

Then,

The coordinate is,


(\cos \theta,\text{ sin}\theta)

Where, angle is given 60 degree.

So,


\begin{gathered} (\cos \theta,\text{ sin}\theta) \\ (\cos 60^(\circ),\text{ sin}60^(\circ)) \\ ((1)/(2),\text{ }\frac{\sqrt[]{3}}{2}) \end{gathered}

Hence, the option B is correct.

User Imjoymhnt
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8.5k points

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