Math 1508 Name
D.Wilson
Quiz #1A
Give exact answers. Solutions will be posted on WebCT later today. Good luck!
1. (a) (2 points) Convert 330◦to radians.
(b) (3 points) Find the length of the arc on a circle of radius 3 feet intercepted by a
central angle of θ= 330◦. Include the units in the answer.
Recall that arclength s=rθ.
2. (a) A point Pon the unit circle is in Quadrant IV.
(3 points) If the x-coordinate of Pis 2
3, what is the y-coordinate?
Hint: Any point P(x, y ) on the unit circle satisfies the equation x2+y2= 1.
(b) (2 points) Let tbe the angle corresponding to the point Pabove. What is cos t?