Question

How to find sin 310 using the unit circle?

A) sin(310) = sin(180)
B) sin(310) = -sin(50)
C) sin(310) = -sin(30)
D) sin(310) = sin(50)

Answer 1

To find sin 310 using the unit circle, we can refer to its reference angle and determine its sign by considering the quadrant. Sin 310 is equal to -sin 50.

Step-by-step explanation:

To find sin 310 using the unit circle, we need to refer to the angles in the unit circle. Since angles are defined as positive in the counterclockwise direction, an angle of 310 degrees falls in the fourth quadrant.

In the fourth quadrant, the sine function is negative. So, sin 310 is equal to -sin of its reference angle, which is 50 degrees in the first quadrant. Therefore, the correct option is B) sin(310) = -sin(50).