katherinesmith
  • katherinesmith
What is the range of y = tan(x) + 2?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
katherinesmith
  • katherinesmith
my guess is all real numbers > -2. is this correct?
katherinesmith
  • katherinesmith
@phi
katherinesmith
  • katherinesmith
@jim_thompson5910

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jim_thompson5910
  • jim_thompson5910
the range of y = tan(x) is the set of all real numbers this is also true for y = tan(x) + 2 because shifting it up or down doesn't change the range
jim_thompson5910
  • jim_thompson5910
you'll be able to see it with a graph
katherinesmith
  • katherinesmith
i thought the domain was all real numbers but the range was different
jim_thompson5910
  • jim_thompson5910
the domain is not the set of real numbers, there are restrictions
jim_thompson5910
  • jim_thompson5910
there are values of x you cannot use
katherinesmith
  • katherinesmith
so what would the domain be
phi
  • phi
doesn't tan go from -inf to + inf ? adding 2 does not change that
jim_thompson5910
  • jim_thompson5910
hint: tan(x) = sin(x)/cos(x)
katherinesmith
  • katherinesmith
okay, i see what you mean. so how do i figure the restrictions of the domain to find the domain of the function
jim_thompson5910
  • jim_thompson5910
use my hint and remember that you cannot divide by zero
katherinesmith
  • katherinesmith
is 0 the only restriction?
jim_thompson5910
  • jim_thompson5910
no x = 0 is allowed
katherinesmith
  • katherinesmith
oh my god
jim_thompson5910
  • jim_thompson5910
tan(0) = 0, so that's defined
phi
  • phi
see a plot https://www.wolframalpha.com/input/?i=plot++tan+x
katherinesmith
  • katherinesmith
then how the heck do i find the domain.
anonymous
  • anonymous
\[ \cos(x)\neq 0 \]
jim_thompson5910
  • jim_thompson5910
you need to find out when cos(x) = 0 is true
jim_thompson5910
  • jim_thompson5910
that way, you'll know which values of x to exclude from the domain
katherinesmith
  • katherinesmith
how do i find that out...
jim_thompson5910
  • jim_thompson5910
use the unit circle
jim_thompson5910
  • jim_thompson5910
look for points on the unit circle that have an x coordinate of 0 then record the angle
katherinesmith
  • katherinesmith
90 degrees and 270 degrees
jim_thompson5910
  • jim_thompson5910
so this means that x cannot be 90 or x cannot be 270 in general, x cannot be equal to 90+180n where n is any integer
jim_thompson5910
  • jim_thompson5910
so the domain is the set of all real numbers x, but x cannot equal 90+180n where n is any integer
jim_thompson5910
  • jim_thompson5910
this is assuming x is in degrees
katherinesmith
  • katherinesmith
okay. thank you for the help
jim_thompson5910
  • jim_thompson5910
yw

Looking for something else?

Not the answer you are looking for? Search for more explanations.