Question

What are the coordinates of the terminal point for 8 = 330°?

Answer 1

Answer:

Step-by-step explanation:

If you plot this angle in the coordinate plane, you will find yourself in the fourth quadrant with a referencew angle of 30. Constructing the triangle from that reference angle and using the Pythagorean triple for a 30-60-90 triangle, you get that the side adjacent to the reference angle is √3, the side opposite the reference angle is a -1, and the hypotenuse (which is NEVER negative!) is 2. The x and y coordinates of the terminal point result from the cos (related to the x coordinate) and the sin (related to the y coordinate). The cos of 30:

$cos(30)=\frac{\sqrt{3} }{2}$ and the sin of 30:

$sin(30)=-\frac{1}{2}$ so the coordinates of the terminal point on that angle are

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

You could also just go to your unit circle, find the angle 330 and look at the coordiantes they give you there for (cos, sin). But I'm a high school math teacher so I wanted you to know how to find this outside of the unti circle. Cuz what if you lost it!?