Question

How to find degrees if cos or sin theta is undefined?

Answer 1

asymptote, i think

Answer 2

the domian of sin and cos functions is all real numbers.. so could you elaborate on what you mean by undefined ? :)

Answer 3

undefined = 1/0

Answer 4

Do you agree that if we tried to graph those as triangles, it wouldn't work?

Answer 5

And even if cosine=x
1/0 is not a point.

Answer 6

I think I got you now

Answer 7

sin(90) = opposite / hypotenuse = how to see this in triangle ?

thats the question right ?

Answer 8

well sin only give value between -1 and 1

Answer 9

and if angle id undefined thn its value will oscillate between -1 and 1

Answer 10

sort of . but you can't
nothing can be zero, thus it has to be a point.

Answer 11

but if cos=1/0
x=1/0
there is no such point.

Answer 12

If we wanted to graph what we had for cos.
It would be 1 adjacent and 0 hypotenuse

Answer 13

\[-1\le cosx \le 1\]

Answer 14

how.

Answer 15

it is not possible

Answer 16

are you simply basing it off of the unit circle?

Answer 17

u need to have 3 side to form a triangle

Answer 18

cos is undefined. how can it be defined by that restriction you placed gorv?

Answer 19

well its standard value

Answer 20

exactly what I'm saying.
Is undefined sin theta going to result in an undefined answer as well

Answer 21

cos give maximum value =1
and min value =-1

Answer 22

ok.

Answer 23

So?

Answer 24

wait

Answer 25

cos is still undefined.

Answer 26

u r saying one side of triangle =0??

Answer 27

thats not possible.

Answer 28

but thats how it shows.

Answer 29

hypotenuse=0 means there is one side of triangle =0

Answer 30

i understand zero can not be a side.
Thus I am saying the answer lies within a point

Answer 31

you tellme what is max value cos can give ??

Answer 32

we want to extend sin and cos beyond 90 degrees which is clearly not possible as you're saying if we live inside a triangle because you can never have two right triangles in a triangle

Answer 33

1 on a unit circle.

Answer 34

exactly! we extend the domain(/definition) of sin and cos to ALL real numbers using unit circle

Answer 35

why?

Answer 36

1/0 is outside the unit circle and cos can not go outside this circle

Answer 37

ok.

Answer 38

oh.

Answer 39

so we have to extend it.

Answer 40

u can use any value of theta it will give you value on or inside the unit circle

Answer 41

extend what ?

Answer 42

so cos is bounded to unit circle

Answer 43

we can not extend it

Answer 44

you said undefined is out of unit circle
cos can not go outside of unit circle
so is it our job to make it go outside?

Answer 45

So wouldn't the answer be undefined?!

Answer 46

i'm still lost a bit.
I'm sorry yall.

Answer 47

when 1 litre water bottle can hold only i litre of water how u can make it adjust more water

Answer 48

On unit circle, we define sin and cos like below :

sin = y coordinate
cos = x coordinate

Answer 49

you can't.

Answer 50

that is same with cos and sin

Answer 51

ok.

Answer 52

so for which specific angle are they undefined ?

Answer 53

let's say cos.

Answer 54

it will not take any value outside

Answer 55

cos theta

Answer 56

like you said 1/0
cos=1/0=base/hypotenuse

Answer 57

is it possible that hypotenuse =0???

Answer 58

we dont have to use triangles to define cosx and sin x

Answer 59

for cos theta?!

Answer 60

no gorv its not.

Answer 61

yeahhh

Answer 62

in geometry it doesnt make sense to ask what is cos (obtuse angle) , since cos theta is defined only for angles between 0 and 90 degrees