4.2 Exercises
From Förberedande kurs i matematik 1
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Revision as of 13:34, 12 September 2008
| Theory | Exercises |
Exercise 4.2:1
Using the trigonometric functions, determine the length of the side marked
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
Loading...Exercise 4.2:2
Determine a trigonometric equation that is satisfied by
![[Image]](/wikis/2008/bridgecourse1-ImperialCollege/img_auth.php/metapost/0/8/2/0820786d109f6e5df6b85e59e4082845.png)
![[Image]](/wikis/2008/bridgecourse1-ImperialCollege/img_auth.php/metapost/e/6/2/e62d7a24b1979467ac26ff2aa1460137.png)
![[Image]](/wikis/2008/bridgecourse1-ImperialCollege/img_auth.php/metapost/0/a/c/0ace13388caeb27bba177c51b384780f.png)
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
Exercise 4.2:3
Determine
| a) |  − 2 | b) | | c) | |
| d) | | e) | | f) | −6 |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
Exercise 4.2:4
Determine
| a) | | b) | | c) | |
| d) | | e) | | f) |  −35 |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
Exercise 4.2:5
Determine
| a) |  | b) | | c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
Exercise 4.2:6
Determine the length of the side marked
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![[Image]](/wikis/2008/bridgecourse1-ImperialCollege/img_auth.php/metapost/4/1/d/41daf8f1b75619ff5fe1932fa57920d8.png)
Exercise 4.2:7
In order to determine the width of a river, we measure from two points, A and B on one side of the straight bank to a tree, C, on the opposite side. How wide is the river if the measurements in the figure are correct?
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Exercise 4.2:8
A rod of length 
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Exercise 4.2:9
The road from A to B consists of three straight parts AP, PQ and QB, which are 4.0 km, 12.0 km and 5.0 km respectively. The angles marked at P and Q in the figure are 30° and 90° respectively. Calculate the distance as the crow flies from A to B. (The exercise is taken from the Swedish National Exam in Mathematics, November 1976, although slightly modified.)
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