Sunday, May 11, 2025

To Quote Mr. Bean, "I studied the trigonometry," But It Was a Long Time Ago

I even got an A which makes my current question all the more humiliating.  I need to cut a 70 degree slope on a piece of CFC.  If it were not so long, I would mount on the tilting table and lift it to 20 degrees (90-20) and run the mill across it.

What I need to do is put the workpiece in the mill vise and trim from the top down at a 70 degree angle.  I may actually cut the angle on my chop saw and use the mill to get the cut more precisely accurate.   Or maybe not. 

The triangle has an acute angle adjacent to the right angle of 70 degrees.   Starting at the other adjacent angle I need to slide the round nose mill down the slope until I have moved .381" in Y.  Starting at z=0 and y=0, how do I compute the ending point for z?

3 comments:

  1. You should be able to just use the tangent of 70 degrees (very slightly under 2.75).

    Based on your stated run in y (0.381), then the final z value should be roughly 1.047 lower or higher than the starting z value.

    ReplyDelete
  2. I'm not sure this will be 100% clear, but it shows you the relation between the right angle (upper-left) and sin and cos of theta.

    https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/trigonometric-functions-using-a-unit-circle-1626266472.png

    They hypotenuse is of length 1, so if you need that cord to be 14, the the distance along the x axis is 14 x cos(theta)

    ReplyDelete
  3. Here is the base article, though I was mostly looking for a clear diagram.

    https://www.cuemath.com/geometry/unit-circle/

    ReplyDelete