arcsin

I was once told that the gradient on a road sign is not arctan but rather arcsin - i.e. 10% is 1m up for 10m on the slope.

Which idiot came up with percentage-based gradient signs Brian Clegg 2010

The green theme was adapted from a template by Viktor Persson at arcsin.

About Sprout 2001

If we are operating on some variable x, the arcsine of x is denoted sinÀ1 (x) or arcsin (x) 48 CHAPTER 3 Graphs and Inverses Fig. 3-10.

Recently Uploaded Slideshows 2009

When a light ray passes through a boundary from a medium having an index of refraction r into a medium having an index of refraction s, the critical angle, c, is given by the formula: c ¼ arcsin ðs = rÞ What does this formula tell us about rays striking a boundary where r ¼ s/2?

Recently Uploaded Slideshows 2009

When a light ray passes through a boundary from a medium having an index of refraction r into a medium having an index of refraction s, the critical angle, c, is given by the formula: c ¼ arcsin ðs = rÞ What does this formula tell us about rays striking a boundary where r ¼ 2s?

Recently Uploaded Slideshows 2009

Plug in the numbers to the equation for critical angle, c: c ¼ arcsin ðs = rÞ ¼ arcsin ð1: 00 = 1: 33Þ ¼ arcsin 0: 752 ¼ 48: 88 Remember that the angles in all these situations are de fi ned with respect to the normal to the surface, not with respect to the plane of the surface.

Recently Uploaded Slideshows 2009

Again we use the refraction formula, this time to fi nd the angle 3, relative to the normal N2r, at which the ray of red light exits the second surface of the prism: sin 3 = sin 40: 79518 ¼ 1: 52000 = 1: 00000 sin 3 = 0: 653356 ¼ 1: 52000 sin 3 ¼ 0: 653356 Â 1: 52000 ¼ 0: 993101 3 ¼ arcsin 0: 993101 ¼ 83: 26598

Recently Uploaded Slideshows 2009

When a light ray passes through a boundary from a medium having an index of refraction r into a medium having an index of refraction s, the critical angle, c, is given by the formula: c ¼ arcsin ðs = rÞ Suppose c ¼ 1 rad, and s ¼ 1.225.

Recently Uploaded Slideshows 2009

And, he apparently is well educated, as he knows the number pi and trigonometrical functions like sin, cos, tan, arcsin, arccos, arctan and the functions sqrt and exp.

Linux Journal - The Original Magazine of the Linux Community 2009

The former expression refers to the inverse sine of x, or the arcsine of x (arcsin x); but the latter expression means the reciprocal of the sine of x, that is, 1/(sin x).

Recently Uploaded Slideshows 2009