To find the value of sin 300 degrees, we first need to understand where this angle is located on the unit circle. The angle of 300 degrees is equivalent to 360 degrees – 60 degrees, which means it is in the fourth quadrant of the circle.
In the fourth quadrant, the sine function is negative. The reference angle for 300 degrees is 60 degrees. We know that:
- sin(60 degrees) = √3/2
Since sin is negative in the fourth quadrant, we can say:
- sin(300 degrees) = -sin(60 degrees) = -√3/2
Therefore, the final value of sin 300 degrees is:
- sin(300 degrees) = -√3/2