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Topic: Trigonometry challenge
Replies: 10   Last Post: Aug 9, 2006 1:20 AM

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 Jimmy Posts: 6 Registered: 2/18/06
Re: Trigonometry challenge
Posted: Feb 19, 2006 9:10 AM

I would like to see the solutions to the following problems. The first problem is representative of the type of problem a elementary student is expected to solve; whereas the second problem is simple physics problem that a high school student should be able to solve.

1. Given the spread between lines L1 and L2 is 1/3, and the spread between L2 and L3 is 1/5, using only rational trigonometry (without using linear angles), what is the spread between L1 and L3? Compare this solution to a similar problem in classical trigonometry where two angles are given in degrees, and one is asked to find their sum.

2. A wheel with a 1 meter radius is rolled along a horizontal surface. Again, using only rational trigonometry, find a general expression that determines the horizontal distance in meters that the wheel has traveled as it is rotated by any given amount.

Thank you

Date Subject Author
11/25/05 Norman Wildberger
2/19/06 Jimmy
2/21/06 Norman Wildberger
2/22/06 Jimmy
2/22/06 Norman Wildberger
2/27/06 Jimmy
2/27/06 Norman Wildberger
2/28/06 Jimmy
7/13/06 prince
7/18/06 shriphani
8/9/06 Brian Quincy Hutchings