Question

What are the values of x when tan(x) is undefined?

A.-270°, -90°, 90°, and 270°

B.-270°, -90°, 0°, 90°, and 270°

C.-360°, -180°, 0°, 180°, and 360°

D.-360°, 0° and 360°

Answer 1

remember tan= sin/cos

Answer 2

where does cos=0?

Answer 3

I'm sorry can you give me some background information of tan and sin and cos

Answer 4

https://www.mathsisfun.com/geometry/images/circle-unit-304560.gif

Answer 5

so tangent is the same as sin/cos

Answer 6

anything divided by 0 is undefined

Answer 7

so using the unit circle, find where cos=0

Answer 8

Isn't undefined a vertical line?

Answer 9

undefined means that nothing exists at that point

Answer 10

So if you look at the unit circle cos is 0 at 90 degrees

Answer 11

can you find the other point that it equals 0?

Answer 12

270 degrees

Answer 13

Is the answer b

Answer 14

270 is correct. What does cos equal at 0 degrees?

Answer 15

I don't know 0

Answer 16

no

Answer 17

270 and 90 degrees

Answer 18

at 0 cos=1

Answer 19

that means that cos is defined at 0

Answer 20

so now we have our two values 90 and 270

Answer 21

The negative values will also produce 0 for cos

Answer 22

So what is the answer?

Answer 23

A

Answer 24

\(\bf tan(\theta)=\cfrac{sin(\theta)}{{\color{brown}{ cos(\theta) }} }\qquad if\ {\color{brown}{ cos(\theta) }}=0\ then
\\ \quad \\
tan(\theta)=\cfrac{sin(\theta)}{{\color{brown}{ 0}}}\impliedby undefined\)

as already pointed out

Answer 25

That's right

Answer 26

SO the answer is A

Answer 27

and at 90 and 270 degrees
cosine is indeed 0

going backwards with negatives, will land on the same spots
as 10115658 said

Answer 28

http://intmstat.com/trigonometric-functions/tan2.gif

Answer 29

looking at the graph of tan, the lines disappear at 90, 270, -90, -270

Answer 30

Thanks so much for your time.

Answer 31

no problem