Q. Does Sinx have any asymptotes?
Correct, sin(x) has no asymptote.
Q. Do trig functions have asymptotes?
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.
Q. Does Sinx have vertical asymptotes?
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.
Q. Do sin and cos functions have asymptotes?
It will have zeros where the sine function has zeros, and vertical asymptotes where the cosine function has zeros.
Q. What is the horizontal asymptote of Sinx?
Asymptote to sinxx? has a horizontal asymptote of y=0, as it approaches that line as x tends to ±∞.
Q. Do sine and cosine functions have vertical asymptotes?
Sine and cosine functions do not have asymptotes.
Q. Which trig function graphs have an asymptote?
tanx , cotx , secx , and cscx have vertical asymptotes.
Q. Where are SEC 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.
Q. Is the graph of the sine and cosine function symmetric?
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.
Q. What are the properties of the sine 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.
Q. Which is trig functions have asymptotes?
Which Trig functions have asymptotes? tanx, cotx, secx, and cscx have vertical asymptotes. I hope that this was helpful.
Q. When does the shape of the graph repeats?
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.
