Tangent Functions

A tangent function has a cycle length of p. It goes from – /2 to /2. Tan x approaches - as x approaches – /2 from the right. When the function approaches as x approaches /2 from the left. It looks different from a sine or a cosine function. Unlike a standard sine or cosine function, which have period’s of 2, the tangent function has a standard period of p. Also it is not one continuous line like a sin or cosine function. Instead it is many lines divided by vertical asymptotes. These asymptotes are found at – /2 and /2, as well as + or – after those two asymptotes. So all the asymptotes can be found with this function x= /2+N. N is any integer. Its domain is x? /2=N, and the tangent functions range is - to . The amplitude of a tangent function is not definable because it goes to - to .