Correct, sin(x) has no asymptote.

Perhaps the most important examples are the trigonometric functions. Out of the six standard trig functions, four of them have vertical asymptotes: tan x, cot x, sec x, and csc x. In fact, each of these four functions have infinitely many of them! For example, f(x) = cot x has a VA at every integer multiple of π.

The domain of y=secx is the set of all real numbers such that x≠π2+nπ , where n is any integer. The graph of y=secx has vertical asymptotes at x=π2+nπ , where n is any integer.

It will have zeros where the sine function has zeros, and vertical asymptotes where the cosine function has zeros.

Asymptote to sinxx? has a horizontal asymptote of y=0, as it approaches that line as x tends to ±∞.

Sine and cosine functions do not have asymptotes.

tanx , cotx , secx , and cscx have vertical asymptotes.

The vertical asymptotes for y=sec(x) y = sec ( x ) occur at −π2 , 3π2 3 π 2 , and every πn , where n is an integer. This is half of the period. There are only vertical asymptotes for secant and cosecant functions.

The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.

Sine Function : f (x) = sin (x) 1 Graph 2 Domain: all real numbers 3 Range: [-1 , 1] 4 Period = 2pi 5 x intercepts: x = k pi , where k is an integer. 6 y intercepts: y = 0 7 maximum points: (pi/2 + 2 k pi , 1) , where k is an integer. 8 minimum points: (3pi/2 + 2 k pi , -1) , where k is an integer.

Which Trig functions have asymptotes? tanx, cotx, secx, and cscx have vertical asymptotes. I hope that this was helpful.

In both graphs, the shape of the graph repeats after 2π,which means the functions are periodic with a period of 2π 2 π. A periodic function is a function for which a specific horizontal shift, P, results in a function equal to the original function: f (x+P) =f (x) f ( x + P) = f ( x) for all values of x in the domain of f.