Properties of Sin-Cos-Tan Functions

The sine and cosine functions take on y-values

between -1 and 1. 

Sine Function:  y = sin x      called a "wave" because of its rolling wave-like           appearance (also referred to as oscillating)      amplitude: 1  (height)      period:  2π (length of one cycle)      frequency:  1 cycle in 2π radians [or 1/(2π)]      domain:        range:    At x = 0, the sine wave is on the shoreline! (meaning the y-value is equal to zero)

Cosine Function: y  = cos x       called a "wave" because of its rolling wave-like        appearance      amplitude: 1      period:  2π      frequency:  1 cycle in 2 radians [or 1/(2π)]      domain:        range:    At x = 0, the cosine wave breaks off the cliff! (meaning the y-value is equal to one) Tangent Function: y  =  tan x         domain: all real numbers except π/2 + k π, k is an integer.         range: all real numbers         period = π        x intercepts: x = kπ  , where k is an integer.        y intercepts: y = 0        symmetry: since tan(-x) = - tan(x) then tan (x) is an odd function and its graph is symmetric with respect the origin.         intervals of increase/decrease: over one period and from -π/2 to π/2, tan (x) is increasing.         vertical asymptotes: x = π/2 + k π, where k is an integer.