|
|
|
|
|
|
Exercises for Chapter III Section 4
In all of the following problems give trigonometric functions to 4 decimal places, find all angles in the same units as angles given in the problem with 1 decimal place for degrees and 3 decimal places for radians, and give all lengths with the same number of decimal places as lengths given in the problem.
1. Find the six trigonometric functions for
2. Find the six trigonometric functions for 
3. Find the six trigonometric functions for 
4. Give each of the following in degrees:
(a) Arcsin(0.7739); (b) Arcsin(-0.7739); (c) Arccos(0.7739);
(d) Arccos(-0.7739); (e) Arctan(0.7739); (f) Arctan(-0.7739).
5. Find an angle in radians whose secant is 2.4483.
6. Graph 
on the same
plot on the calculator.
7. Do Problem 24 of Exercises for Chapter III Section 1 on the calculator and compare your answers to the exact answers.
8. Solve each of the following right triangles:
(a)  |
(b)  |
(c)  |
(d)  |
(e)  |
(f)  |
9. Do Problem 25 of Exercises for Chapter III Section 1 on the calculator and compare your answers to the exact answers.
| 10. An architect is interested in finding the height of the column shown on the right. She goes to a point 36.7 feet from the base of the column, from which point the angle of elevation to the top is 34.4o. How high is the column? |
|
11. Use the calculator to solve Problem 2 of Exercises for Chapter III Section 3 and compare your answers to the exact solutions.
12. Solve each of the following triangles (See Figure 1c) from the given information if possible.
(a) 
b = 39.47;
(b) 
a = 2.917, c = 3.264;
(c) a = 472.6, b = 515.1, c = 497.7, find angles in radians.
13. A contractor needs to run a sewer line from a new
building at A to the waist treatment plant at B, but heavy
underbrush makes it difficult to see directly from A to
B. From C, however, he can clearly see both A and
B. The distance AC is 218.6 meters, the distance
BC is 179.4 meters, and the angle at C is 118.3
degrees. Find the distance AB and the angle  at A. |
 |
|
|
|
|
|
|