Math

Last week I think I tripped a few of you up…Congrats to still unreal for getting the right answers.

sin θ = Opposite over Hypotenuse = Y/X

cos θ = Adjacent over Hypotenuse = Z/X

tan θ = Opposite over Adjacent = Y/Z

csc θ = 1/Opposite over Hypotenuse = 1/(Y/X) = X/Y

sec θ = 1/Adjacent over Hypotenuse = 1/(Z/X) = X/Z

cot θ = 1/Opposite over Adjacent = 1/(Y/Z) = Z/Y

This week we will use the same “lopsided” triangle and solve for Z (and before someone points it out) the triangle is NOT to scale!

Wednesday, July 25, 2007 // Labels: Math // 5 comments //

5 comments to "Math"

Wed Jul 25, 09:20:00 PM
still Unreal... says:

How would you like this to be part of your entry in Wiki? lol

Main interests: Metaphysics, Music, Mathematics, Ethics, Politics
Notable ideas: Musica universalis, Golden ratio, Pythagorean tuning, Pythagorean theorem
Influences: Thales, Anaximander, Pherecydes
Influenced: Philolaus, Alcmaeon, Parmenides, Plato, Euclid, Empedocles, Hippasus, Kepler

Whoa.
5?
Thu Jul 26, 06:53:00 AM
steveegg says:

Wiki? Bah, humbug.

SU - you forgot to show your work (which was a major fault of mine; I almost never did either).

Given the Pythagorean Theorem, in which the sides a and b and hypotenuse c of a right triangle are related with the formula a^2 + b^2 = c^2, set a to 12, b to Z and c to 13, and solve thusly:

12^2 + Z^2 = 13^2
Z^2 = 169 - 144
(Z^2)^.5 = (25)^.5
Z = 5

And I'll take the bonus for not using a calculator :-)
Thu Jul 26, 07:23:00 AM
still Unreal... says:

Oh, yeah?
I get a bonus for the quick look up of Mr. Pythagoras, too.

Show my work???
How do you not know the Pythagorean Theorem??
Thu Jul 26, 08:44:00 AM
gopfolk says:

My wife did the math in her head and talked the whole thing out...now that is bonus points!

:)

steveegg...thanks for showing your work!

;)
Thu Jul 26, 08:51:00 AM
still Unreal... says:

That's crap!
I want a "check+"!
(see: south park)

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