Question

What is variable n in tangent/cotangent functions?
Will medal!

Answer 1

My class material says the domain in tangent is all real numbers except those of which equal pi/2 + n(pi)

Answer 2

Please provide an illustration of what you mean. Your wording is unclear and lacks specifics.

Answer 3

I think it's talking about vertical asymptotes. It's Pre-Calc if that helps any. They didn't give me any example problem so I'm not sure how to illustrate it.

Answer 4

@mathmale

Answer 5

Well think about what tangent is \(\large tan(x) = \frac{sin(x)}{cos(x)}\)

It has vertical asymptotes wherever cos(x) = 0

And where do those occur?? we know cos(pi/2) = 0 and we know any integer multiple of pi added to that also make cos(x) = 0

Looking at the unit circle, it makes sense

Answer 6

So I guess to more-specifically answer the 'n' question, n is any integer that is multiplied to pi

Answer 7

@johnweldon1993 I think I get it... pretty sure lol. Thanks for your help! :)

Answer 8

Lol no problem! if you still have any questions though just lemme know :)

Answer 9

Ok thank you!!