Hey guys, I've been really dumb and put off studying until way to late. Just yesterday my prof posted this practice test for a test I have tomorrow afternoon. I do pay attention in class, but not as much as I should so I'm a little behind on this stuff. Where can I go to learn these kinds of problems by tomorrow? The problems will probably be exactly the same just different numbers so if I get these down I should do just fine. The prof doesn't require a book for the course so I'm kind of at a loss on how to catch back up. Thanks!1. The hypotenuse of a right triangle has length 12 and one of the angles is 40^{o}. Find the lengths of the other sides and the measure of the other angle.

2. Graph the function f(x)=-2cos(3x-9π). Make sure you label the coordinate axes of the graph as no points will be awarded for unlabeled axes.

3. A circular gear rotates at the rate of 200 rpm

a.What is the angular speed of the gear in radians per minute?

b.What is the linear speed of a point on the gear 2 in. from the center in feet per minute?

4. If wheels measuring 24in in diameter of a vehicle are swaped for wheels measuring 27in in diameter how fast is the vehicle traveling if the speedometer reads 65mph?

5. Each of two observers 200-ft. apart measures the angle of elevation to the top of a tree that sits on the straight line between them. These angles are 25° and 29° respectively. How tall is the tree?

6. An arc of a circle has length 30 and the chord that is formed by this arc has length 20. Find the measure of the angle subtended by the chord. (Note: This one is a little challenging. There are multiple equations you need to combine to get a working equation that you will need to graph on the calculator to solve.)