We all know Abe Lincoln and John F. Kennedy have similarities but try to have a history teacher explain this if they can. The similarities between the two are startling. Abraham Lincoln was elected to Congress in 1846. John F. Kennedy was elected to Congress in 1946. Abraham Lincoln was elected President in 1860.
An asymptote is a line that the curve never touches but approaches. like say the curve y=1/x will never touch the line x=0(y-axis) nor the y=0(x-axis). so the asymptotes are the two lines. An asymptote is generally drawn as a dotted line. It's not part of the function.
Asymptotes of Secant, Cosecant, and Cotangent. To find the x-intercepts and asymptotes of secant, cosecant, and cotangent, rewrite them in terms of sine and cosine. Notice that since secant and cosecant have 1 in the numerator and a trig function in the denominator, they can never equal zero; they do not have x-intercepts. The vertical asymptotes of the three functions are whenever the denominators are zero.