Solve for the following trigonometric ratios using quadrants. [6]

Question

a) sin300

Answer 1

To solve for sin(300), we first need to determine which quadrant 300 degrees lies in. In standard position, 300 degrees would be in the fourth quadrant.

In the fourth quadrant, the values for sin are negative. So, sin(300) = -sin(60).

Since sin(60) = √3/2, we have:
sin(300) = -√3/2