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4.2 Übungen

Aus Online Mathematik Brückenkurs 1

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Version vom 07:27, 16. Sep. 2008

 

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Exercise 4.2:1

Exercise 4.2:2

Exercise 4.2:3

Determine

a) sin2  b) cos2 c) sin9
d) cos27 e) sin43 f) cos6 

Exercise 4.2:4

Determine

a) cos611 b) cos311 c) tan43
d) tan e) tan67 f) tan35 

Exercise 4.2:5

Determine

a) cos135 b) tan225 c) cos330 d) tan495

Exercise 4.2:6

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?

4.2 - Figure - A river

Exercise 4.2:8

A rod of length hangs from two ropes of length a and b as shown in the figure. The ropes make angles and with the vertical. Determine a trigonometric equation for the angle which the rod makes with the vertical.

4.2 - Figure - Hanging rod

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.)

4.2 - Figure - A road from A to B via P and Q