**DAY 8 - Assessment - Mary H. Bruce - EMAT 6690**

**Introduction to Trigonometry**

1. Given right triangle ABC, find the ratio of AB to BC.

2. The angle of depression from the top of one building to the foot of a building across the street is 63˚. The angle of depression to the top of the same building is 33˚. The two buildings are 40 feet apart. What is the height of the shorter building?

3. If 0<k<Π/2 and the ordered pair of the terminal point of an arc of length k on a unit circle is (a, b), what is sin(Π - k), cos(Π + k) and tan( - k)?

4. Find (u, v) of the terminal point of an arc on a unit circle if arc length is 1.63.

5. Find the sine of an angle in standard position whose terminal side contains the point (6, -8).

6. Graph the following:

(a) y = 3 - 2cos2(x - Π/3)

(b) y = 2 csc x

(c) y = 2 + 3 sin 3(x + Π/2)

**RETURN to
Instructional Unit Outline**