Measure for Measure
180o
What is pi?
1 Revolution, in radians.
What is 2pi? It's pronounced, tau-pack.
It'll give you the ratio of the length of the opposite side to the length of the hypotenuse. Not everywhere, just in a right triangle.
What is sine?
1 / sin(t)
What is cosecant(t)?
It's 5 key points look like a V.
What is cosine?
60o
What is pi/3?
2 Revolutions, in degrees.
What is 720o?
It's clearly visible that it gives you the ratio of the hypotenuse length to the adjacent side length in a right triangle. Or is it?
What is secant?
cos(t)/sin(t)
What is cotangent(t)?
Asymptotes every pi, starting at pi, but not shaped like all U's or even upside-down U's.
What is cotangent?
pi/4
What is 45o?
Good luck in the eating contest! 3.5 revolutions.
What is seven pi?
It will give you the angle, after you input the ratio of the length of the opposite side to the adjacent side of an angle in a right triangle.
What is arc-tangent or inverse tangent?
sin2(t) + cos2(t), hey wait, this one's not prime!
What is 1?
Has a period of pi, and a point at (pi/3, sqrt(3))
What is tangent?
150o
Revolution #9, in degrees. Closer to the Sun than Mercury.
What is 3240 degrees?
It's value is equal to -1 on the unit circle at pi.
What is cosine?
sin(t + pi/2)
What is cos(t)?
U, right side up, in the first pi radians.
What is cosecant?
5pi/3?
What is 300o?
Angular velocity formulae.
What is w=theta/t, w=v/r, or w=s/rt?
It's value is non-existent at 3pi/2, along with secant.
What is tangent?
sqrt(1 + tan2(t) )
What is sec(t)?
A range of (-inf, -1] U [1, inf) and a point at (pi, -1).
What is secant?