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Trigonometry Nest 2 (Posted on 2005-11-07) Difficulty: 1 of 5
In Trigonometry Nest, the functions sin(cos(x)) and cos(sin(x)) were introduced, and it was proven that one of these functions is always greater than the other.

Taking this concept to infinity, which of these functions is greater: C(x)=cos(sin(cos(......(sin(x))))...))), or S(x)=sin(cos(sin(......(cos(x))))...)))?

How does the ratio C(x)/S(x) depend on x?

See The Solution Submitted by Larry    
Rating: 3.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
approx. values of...Norma2007-01-11 18:51:52
A few minutes and a calculator (solution)Leon2005-11-17 18:51:31
re: Thoughts and Possible SolutionCharlie2005-11-08 15:57:17
SolutionThoughts and Possible SolutionAlexis2005-11-07 23:48:09
some thoughts--spoiler presentCharlie2005-11-07 10:49:43
SolutionTo greater precisionCharlie2005-11-07 10:37:33
Some ThoughtsExcel spoilerSteve Herman2005-11-07 10:22:32
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