2006-12-15 02:40:00 · 6 answers · asked by wicked 1 in Science & Mathematics ➔ Mathematics
because it is defined for all x domain = - inf to + inf
becuase it takes all values at -pi/2 - inf and at pi/2 inf so range \ -inf to +inf
2006-12-15 02:42:40 · answer #1 · answered by Mein Hoon Na 7 · 0⤊ 1⤋
the domain is all real numbers as tanx along the y axes goes up to positive infinity and down to negative infinity.
Since tan x is a periodic function (it repeats every 180 degrees or pi radians) its range will be all real numbers again accept when tan x is undefined at 90 +180k degrees or pi/2 +pi(k) radians. ( tan 90 is undefined as tan can be taken to be sin/cos and since cos 90= 0 and division by 0 is undefined therefore tan 90 is undefined)
2006-12-15 02:54:37 · answer #2 · answered by ultimaninjabob 1 · 0⤊ 0⤋
The range is easy, tan(x) produces values as large or as small as you like, so (-infinity to +infinity) is the range.
The domain is a bit harder. Since tan(x) = sin(x)/cos(x), tan(x) is defined everywhere EXCEPT where cos(x) = 0. These are the points x = 90 +/- 180k degrees, where k is any integer.
Or Pi/2 +/- Pi(k) radians, if you prefer.
2006-12-15 02:51:26 · answer #3 · answered by heartsensei 4 · 1⤊ 0⤋
The range is all real numbers. The domain is all real numbers except (2n+1)*(pi/2), for n = ...,-3, -2, -1, 0, 1, 2, 3, ... (integer).
2006-12-15 02:54:35 · answer #4 · answered by Kevin 2 · 0⤊ 0⤋
The domain (for x) is all real x not equal to
(2n + 1) pi/2, where n is any integer 0, plus-or-minus 1,
plus-or-minus 2, plus-or-minus 3,
etc.
The range (for y) is from -infinity to +infinity.
2006-12-15 03:30:29 · answer #5 · answered by answerING 6 · 0⤊ 0⤋
Rang=R(set of real no.)
Domain=all real no. except90*(1+n) where n is set of integers
2006-12-15 02:58:50 · answer #6 · answered by eissa 3 · 0⤊ 0⤋