See Applications of radians. O-mega means "big O". It often means "a small change in" a quantity. You'll come across sigma in probability and statistics. Rho is also used in spherical polar coordinates to represent the radius. You usually only see the following Greek letters in university-level mathematics. As such, they are more difficult to remember and some of them are difficult to pronounce!
Hopefully this list of Greek letters with their common letter-name pronunciations in English, not necessarily how the Greeks pronounce them will help you. Remember O-mega, or "big O" above? So now, after all that, hopefully you are in mathematical utopia. The word "utopia" comes from the Greek for "no where.
See the 7 Comments below. Posted in Learning mathematics category - 03 Apr [ Permalink ]. Tags: Math notation. Oh those darn Greek letters, I don't understand why they cause the students to freeze. I've mostly given up. It's just a name. I agree it is reasonable for students to learn "alpha" I still remind them that it really isn't a fish.
However getting them to learn the Greek letters is not my main goal. In the system of Greek numerals it has a value of 9. According to Porphyry of Tyros, the Egyptians used an X within a circle as a symbol of the soul; having a value of nine, it was used as a symbol for Ennead.
Johannes Lydus says that the Egyptians used a symbol for Kosmos in the form of theta, with a fiery circle representing the world, and a snake spanning the middle representing Agathos Daimon. The Egyptians also used the symbol of a point within a circle , the sun disc to represent the sun, which might be a possible origin of its use as the Sun's astrological glyph.
It survives on potsherds used by Athenians when voting for the death penalty. Tangent T is equal to the opposite O divided by the adjacent A. If the length of the opposite side is known as well as the hypotenuse -- corresponding to the SOH in the acronym -- use the arcsin function on the calculator, and then input the two lengths in fractional form. For example: If the side opposite angle theta has a length of 4 and the hypotenuse has a length of 5, input the ratio into the calculator like this:.
This should output a value of approximately However, if an angle and the length of its opposite side are known, the Law of Sines can be used in cooperation with another known side length to find missing angles. Broken down, this means that the sine of an angle divided by the length of its opposite side is directly proportional to the sine of another angle divided by the length of its opposite side.
To solve, isolate the sine of the unknown angle by multiplying both sides of the equation by the length of angle theta's opposite side. This gives angle B a value of approximately The Law of Cosines works on all triangles but is primarily used in instances where the lengths of all sides are known, but none of the angles are known. This calculation outputs a value of approximately An important thing to remember is that all triangles are composed of three angles that have a total sum of degrees.
Practice the different techniques on different triangles until the process becomes familiar.
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