anonymous
  • anonymous
What is the domain of y = tan x?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
@mathmale A?
anonymous
  • anonymous
@amistre64

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mathmale
  • mathmale
Remember, Spikers, that the cot x function is periodic. It repeats itself indefinitely. Pi is the period of just ONE cycle of the cot x function. If y ou were to draw y=cot x, you'd have the first cycle, of length Pi, beginning at x=0. But there'd be repetitions of the same graph on the right and on the left. So, using this info, judge which of the given answers is best. It's not Pi, by the way.
Michele_Laino
  • Michele_Laino
hint: since we have the subsequent definition: \[\tan x = \frac{{\sin x}}{{\cos x}}\] then tangent function is not defined at point such that: \(\cos x=0\)
Michele_Laino
  • Michele_Laino
points*
retirEEd
  • retirEEd
y is not defined for pi/2 or (3 pi) / 2 for 0 <= X <= 2 pi
anonymous
  • anonymous
b.
Michele_Laino
  • Michele_Laino
b is a wrong option, since \(\cos 0=1\) and \( \cos \pi=-1\)
mathmale
  • mathmale
I know this is taking a lot of time, but still strongly recommend that you graph one cycle of y=cot x before trying to proceed further.
Michele_Laino
  • Michele_Laino
namely tangent function exists inside \((0,1)\) except one point
mathmale
  • mathmale
sorry, very sorry. It's y=tan x we're discussing. Everyone in agreement?
Michele_Laino
  • Michele_Laino
oops.. I meant \((0, \pi)\)
mathmale
  • mathmale
Michele, the basic, central graph of the tangent function has the domain (-pi/2 , +pi/2), not (0, pi) (unless you're talking about the cot x function.
Zarkon
  • Zarkon
Michele_Laino is clearly talking about the guess the original poster made \((0,\pi\))
mathmale
  • mathmale
But we need to find the domain for multiple cycles of the tangent function. Thus, b is incorrect because that's the domain of ONLY ONE CYCLE of the cot. function.
Michele_Laino
  • Michele_Laino
no, please it is my explanation in order to say that option b is a wrong option @mathmale
mathmale
  • mathmale
Point made, point correct, point taken, apologies issued. :)
mathmale
  • mathmale
So, we eliminate answer choices a and b. Of the remaining two choices, which is correct, and why?
mathmale
  • mathmale
Spikers, your input, please!
Zarkon
  • Zarkon
I think Spikers is waiting for someone to give the answer
mathmale
  • mathmale
I do notice that Spikers has typed in a message here ONLY ONCE, and that was to state that the answer is "b" without explanation. Spikers? Time for further input from you.
mathmale
  • mathmale
Spikers, if I were you I'd do a search for "y=tan x" and look carefully at the graphs that pop up. You should eventually be able to determine the domain of a function simply by looking at the graph. That certainly works for y=tan x, if not for every other function.
mathmale
  • mathmale
sorry, I have to get off the 'Net.

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