This blog contains answers to exercises set for students. While every effort is made to ensure that the information posted is correct, mistakes may occur from time to time.
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Prep for lesson on Circular motion
Radians
Since a radian is the angle between two radii with an arc
length equal to the radius, there are 2p
radians in one complete circle.
1. Use a calculator to complete the table
of q in degrees and radians, sin q, cos
q, and tan q when q has values in
degrees shown in the table:
q degree
|
q in radians
|
sin q
|
cos q
|
tan q
|
0.01
|
|
|
|
|
0.1
|
|
|
|
|
0.5
|
|
|
|
|
1
|
|
|
|
|
5
|
|
|
|
|
10
|
|
|
|
|
20
|
|
|
|
|
70
|
|
|
|
|
When q
(in radians) is small what are suitable approximations for:
sin q,
tan q, cos q?
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