Question

Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
0 = 7pi/6

Answer 1

Answer:

Answer is B: (-sqrt(3/2 , -1/2)

Step-by-step explanation:

First convert radians to degrees

theta = (7pi/6)*(180/pi)

=210 degrees

Cos(210 degrees)= -sqrt3/2

Thats the x coordinate

sin(210 degrees)= -1/2

thats the y coordinate

Answer 2

Answer:

The corresponding point on the unit circle for the radian measure is $(\frac{\sqrt{3} }{2},\frac{1}{2})$

Step-by-step explanation:

What is unit circle?

A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.

What is radian measure?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.

The radian measure is,

α=$\frac{7\pi }{8}$

Changing to degree measure,

$\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}$

The measure on the unit circle is,

(cos $\alpha$ , sin $\alpha$)=(cos 210 , sin 210)

                    =$(\frac{\sqrt{3} }{2},\frac{1}{2})$

Option A.

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