Question

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

Answer 1

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.