What is the domain and range of y=tan x? - Socratic
2015年10月10日 · Remember that #tan=sin/cos# therefore, you will have a vertical asymptope whenever cos=0. Cos=0 every odd multiple of #pi/2#. If you plug y=tan(x) into a graphing calculator you will see that the ends of each section continue on infinitely along the y-axis.
How do you graph y=tanx? - Socratic
2015年9月21日 · graph{tan x [-10, 10, -5, 5]}. See explanation. graph{tan x [-10, 10, -5, 5]} The number of lines you have to draw depends on the domain provided. If the domain is not specifically provided, you will have to draw them all (that's what the function does). If you're doing it by hand, I would first trace some vertical construction lines (asymptotic lines) at pi/2, -pi/2, …
How do you find the period of tan x? + Example - Socratic
2015年4月17日 · The period of tan x is pi. You can see it on the graph: graph{tanx [-10, 10, -5, 5]} Example: tan pi/4 and tan (pi/4 + pi) have the same value (1).
How do you find the domain and range of y=tan x? | Socratic
2017年4月10日 · tanx = sinx/cosx domain is all the values that x can take such that y always exists and is finite for that value of x. thus x can take all such values where cosx is not zero because if cosx will be zero tanx will become infinity and hence not defined . thus domain is : all real numbers except the numbers at which cosx is zero i.e. npi/2 where n= 1,3,5,..... range of …
How do you graph #y=tan(x-pi/2)#? - Socratic
2018年6月11日 · Below y=tan(x-pi/2) is basically y=tanx shifted to the right by pi/2 That means that the entire graph including the asmpytotes move to the right by pi/2 units. graph{tanx [-10, 10, -5, 5]} Above is y=tanx graph{tan(x-pi/2) [-10, 10, -5, 5]} Above is y=tan(x-pi/2) If you focus on (0,0) in the first graph, you will notice that in y=tan(x-pi/2), it has shifted to the right by pi/2 …
How do you graph #y=-tan2x# and include two full periods?
2017年3月20日 · Create a normal tan graph: graph{tan(x) [-0.5, 6.29, -4, 4]} (If you don't know how, then either think of how tan changes as the angle of the triangle increases from zero, or remember this chart: 0 : 0 pi/4 : 1 pi/2 : undefined (goes off to infinity) (3pi)/4 : -1 pi : 0 Repeat this at least twice.) Then compress it in the horizontal by a factor of two (because of the 2x in the …
How do you graph #y=tan(x-90) - Socratic
2017年3月10日 · y= -cotx y =tan(x-90) y= - tan (90-x) y= -cotx graph{-cot x [-7.69, 7.69, -3.84, 3.85]}
How do you graph y=tan3x? - Socratic
2017年11月19日 · See below. The graph of y=tan3x is the graph of y=tanx with a horizontal compression by a factor of 1/3 The period of tanx is pi, so the period of tan3x is: 1/3*pi=pi/3 Graphs of y=tan3x and y=tanx
How do you graph y= -4 tan x? - Socratic
2015年7月4日 · To plot a general idea, find y for a few values of x and connect the points. This should give you an sense of how the graph should look. For sketching the full equation: (obviously not the most accurate sketch)
What is the domain of #arctan(x)#? - Socratic
2016年3月28日 · The domain of arctan(x) is the whole of RR, that is: (-oo, oo) The function tan(x) is a many to one periodic function, so to define an inverse function requires that we restrict its domain (or restrict the range of the inverse function). To define arctan(x) as a function we can restrict the domain of tan(x) to (-pi/2, pi/2). The function tan(x) is one to one, continuous and …