Question

Help with true and false questions about cosecant and secant functions

Answer 1

1.The vertical asymptotes of the cosecant function are located at the same values of x for which the sine function is equal to 0.

2.The vertical asymptotes of the secant function are located at the same values of x for which the sine function is equal to 0.

Answer 2

secant=1/cosine
so when cosine is 0 secant is undefined right?

Answer 3

Yeh I just saw this in my notes so it would be the secant that is true and false for cosecant?

Answer 4

@freckles

Answer 5

wait which are you saying is true?

Answer 6

1 or 2?

Answer 7

so im saying 1 is false and 2 is true

Answer 8

why would you say 2 is true when I just said that secant=1/cosine
and when cosine is 0 secant is undefined?

Answer 9

also we will look at 1 again after we have finished looking at 2

Answer 10

I miss thought is all then s: see I just got done dealing with Cotangent and if Cos=0 that means that it would be true but we arent dealing with that

Answer 11

\[\sec(x)=\frac{1}{\cos(x)} \\ \text{ if } \cos(x)=0 \text{ then } \sec(x)=\frac{1}{0} \\ \text{ you cannot divide by 0 }\]

Answer 12

Yes that is true you cannot

Answer 13

so that means sec(x) has a vertical asymptote when cos(x) is 0

Answer 14

so number 2 is true or false?

Answer 15

I am confused s: if cos is 0 that means it is undefined

Answer 16

exactly

Answer 17

so how does that work?

Answer 18

So if it is undefined it has vertical asymptotes?

Answer 19

oh wait

Answer 20

usually 0/0 means you have a hole
but if you have a/0 where a isn't 0 then you definitely have a vertical asymptote


Remember f(x)=1/x
That function looks like:

1/x is undefined when x=0
so since we have 1/0 we definitely have a vertical asymptote at x=0

Answer 21

2 is false because it says sine not cosine

Answer 22

right
if sin=0 then cos is definitely not zero at the same time

Answer 23

now what about number 1?

Answer 24

Yes this is true aha sorry

Answer 25

I would say that it\[\cos(x)=\frac{ 1 }{ \sec(x) }\]

Answer 26

1.The vertical asymptotes of the cosecant function are located at the same values of x for which the sine function is equal to 0.
remember cosecant=csc
csc(x)=1/sin(x) correct?

Answer 27

Omg

Answer 28

*FACEPALMS*

Answer 29

I was like cosecant must be COS *FACEPALMS*

Answer 30

cosine=cos
sine=sin
cosecant=csc
secant=sec
cotangent=cot
tangent=tan

Answer 31

Yes yes I failed sorry my mind just went all stupid mode lool

Answer 32

lol anyways this is basically the same question before except with a different story ending