Math 132

Math 132

Quiz 1


Justify all answers with neat and organized work. Clearly indicate your answers. 20 points possible.


No calculators allowed on this page.


1. (4 pts.) Find the exact value of each expression, without using a calculator.


(a)
sin p
6

(b)
cos p
4

(c)
tan30

(d)
sec60


Justify all answers with neat and organized work. Clearly indicate your answers.


2. (4 pts.) The measure of an angle in standard position is given. Find two other positive angles and two negative angles that are coterminal with the given angle. Give your answers in radians.
5p
4

3. (4 pts.) Using the figure below, find each of the given quantities. Give exact answers.


Figure

(a) Find sina.

(b) Find cosb.

(c) Find seca.

4. (4 pts.) A radial saw has a blade with an 8-inch radius. Suppose that the blade spins at 750 rpm. Find the linear speed of the sawteeth in ft/sec. You may give a decimal approximation as your answer.

5. (4 pts.) A tower is located 250 ft from a building (see the figure). From a window in the building it is observed that the angle of elevation to the top of the tower is 42 and the angle of depression to the bottom of the tower is 26. How tall is the tower? You may give a decimal approximation as your answer.


Figure




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