# Applications of Trig

1. Aug 25, 2007

### rocomath

1. The problem statement, all variables and given/known data
32. Three gears are arranged as shown in the figure below. Find the angle $$\phi$$

46. Prove that the area of a parallelogram is the product of two adjacent sides and the sine of the included angle.

2. Relevant equations

3. The attempt at a solution
32. I assumed that since the gears touch that I could add their radius. Would that be incorrect? I was thinking I had to use the linear and angular speed formulas, but I wasn't sure. I know that their linear speed is equal, but I don't think I need to do all that.

46. I followed the steps in which they obtained the Area of a triangle.

2. Aug 26, 2007

### Gib Z

Both workings seem find to me.