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Rotating slopes (Posted on 2006-03-21) Difficulty: 3 of 5
Given a line with slope y/x, find a simple formula for the slope of a second line that forms a 45 degree angle with this line (find slopes for both 45 degrees more and 45 degrees less.)
This can be done without trigonometry.

Find a general formula for any angle.
This requires trigonometry.

See The Solution Submitted by Jer    
Rating: 3.2000 (5 votes)

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re(2): Solution - how do you use it? Comment 5 of 5 |
(In reply to re: Solution - how do you use it? by Jer)

If you know the slope p/q for the angle (like you know the slope y/x of the line), then use the p and q; otherwise, use q = 1 and p = tan(angle).

For the case of 30 degrees, the slope is 1/sqrt(3). So p = 1 and q = sqrt(3) or q = 1 and p = tan(30) = 1/sqrt(3).

Edited on March 22, 2006, 6:07 pm
  Posted by Bractals on 2006-03-22 17:59:09

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