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Mar 19th, 2003, 08:31 PM
#1
Thread Starter
Lively Member
*EDIT* - Solved
God help me...er...you, please.
I need to find out how to solve
(11 * pi) / 8
without using a calculator, and getting the exact value, only knowing the addition, subtraction, double, squares, and half-angle identities, as well as the basic chart for angles 0, 30, 45, 60, and 90 degrees, for all six major trigonometric function.
Please help and please show work, my life depends on it!
THANK YOU mucho in advance!
-Rob DiMarco
__________________________
Edit: Well, oops! I did mean sin (11pi/8) but I got it already, thanks anyways!
Last edited by boscord; Mar 20th, 2003 at 04:18 PM.
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Mar 19th, 2003, 11:39 PM
#2
Fanatic Member
do you mean sin(11pi/8) cos(11pi/8) ?? 11pi/8 by iteself is just an angle and it is already in simplest form
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The probability that a random rational number has an even denominator is 1/3 (Salamin and Gosper 1972)? This result is independently verified by me (2002)!
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Mar 20th, 2003, 11:44 PM
#3
Fanatic Member
By using the sum and difference formula:
sin(11pi/8) also = sin (4pi/8 + 7pi/8) = sin(pi/2) * cos (22.5deg) + cos (pi/2) * sin (22.5deg).
Now figuring out the sines and cosines at 22.5deg could be a real hassle, if you want the EXACT VALUE.

prog_tom
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