sine of a number line

May 2010
2
0
I have a number line set up from 0 to 1 divided into 50 chunks. I want to take the sine of this line so that the middle is zero and the ends (0 and 1) are both 1. In other words, I want my life to go from 3pi/2 to pi/2 instead of 0 to 1. How can I do this?

thanks
 

CaptainBlack

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I have a number line set up from 0 to 1 divided into 50 chunks. I want to take the sine of this line so that the middle is zero and the ends (0 and 1) are both 1. In other words, I want my life to go from 3pi/2 to pi/2 instead of 0 to 1. How can I do this?

thanks
You want to map the interval \(\displaystyle [0,1]\) onto \(\displaystyle [a,b]\), so you want:

\(\displaystyle f(x)=x\times(b-a)-a\)

so \(\displaystyle f:[0,1] \to [a,b]\)

-nothing to do with trig.

CB