Thursday, June 7, 2012

Math problems of the week: traditional vs. IMP trigonometry

I. The next two pages of the first trigonometry chapter in A Second Course in Algebra (published in 1937), pp.399-400 [click to enlarge]:




II. The next two pages of the first trigonometry chapter in Interactive High School Mathematics Math Program Year 4, pp. 10-11 [click to enlarge]:


1 comment:

Barry Garelick said...

Let's see; how far above the ground are they at the 2:00 position? Well, since the angle from 3:00 to 12:00 is 90 degrees, the 2:00 represents 1/3 of that angle, or 30 degrees. The radius is 15 feet, so 15*sin30 gives us 7 1/2 feet above the center. The center is 20 feet above ground, so that puts them at 27 1/2 feet above...what? They haven't learned about the sin, cos or tan functions yet? Oh. Well, then I don't know.