Question

if csc^-1x = sin^-1(1/x) then is sin^-1 = csc^-1(1/x) ???

Answer 1

please help me!!

Answer 2

is that a question ?

Answer 3

yes i was wondering if this is right

Answer 4

i want to rewrite y=csc^-1x to sin but i dont know..

Answer 5

kk ! I'll ask you a question : what is the domain of the function \[\csc^{-1}\]

Answer 6

x≤-1 or x≥1

Answer 7

now if \[x \ge 1=====>\frac{1}{x}\text{ ?????? } \] ?!

Answer 8

\[\left(\begin{matrix}1 \ \div \ x≥1\end{matrix}\right)\]

Answer 9

Now I'm lost ! what did you prove !
this \[\csc^{-1}(x)=\sin^{-1}(\frac{1}{x})\] ?!

Answer 10

i just want to know if this is correct but i dont know how to solve when sin^-1(x)

Answer 11

Sorry im confusing you:(

Answer 12

No !No ! problem at all !
let's discuss about that !
what you diid is correct...If \[x \ge 1 \text{ or } x \le -1 \]

Answer 13

it can be any numbers right? x≥1 or x≤−1

Answer 14

Yes ! So, keep this in your "japanese " mind
if we have to write i(or type) \[\csc^{-1}(***)\text{ then (***) should be } *** \ge 1 or ***\]

Answer 15

*** less than -1 !
now let's return back to your question !

Answer 16

hmmm...? im lost i tried this out is it right?

Answer 17

It seems correct ! But It's not !
You did the biggest mistake of your life !
that what I was saying ! You should be careful !
if \[\csc^{-1}(x)=\sin^{-1}(\frac{1}{x})\]
then \[x \le-1 \text{ or }x \ge 1 \]
we're asked :if \[\csc^{-1}(\frac{1}{x})=\sin^{-1}(x)\]

Answer 18

then \[\frac{1}{x}\text{ should also satisfy } \frac{1}{x} \le -1 \text{ or } \frac{1}{x} \ge 1 \]

Answer 19

is that possible ?

Answer 20

@lsugano

Answer 21

.......i am so lost :( okay ill try to make it clear again and write it on my tablet and if possible please checkk!!

Answer 22

kk ! you don't know yet if the statement : if csc^-1x = sin^-1(1/x) then sin^-1(x) = csc^-1(1/x) is correct or not !

Answer 23

yes! so i was wondering if this is correvct?

Answer 24

We are looking for an answer together :) :) !

Answer 25

so is this statement true?

Answer 26

both !

Answer 27

True if x=1
false if x=/= 1

Answer 28

false if x is not 1 you mean?

Answer 29

yes !

Answer 30

so what if it was more than or less than 1?

Answer 31

for all numbers ?

Answer 32

yes

Answer 33

then it will be false certainly !

Answer 34

can you prove that to me ?!

Answer 35

idont know how....>< this is confusing me

Answer 36

:'( :'( ! I've just explained it to you !
all of this is about the domain !

Answer 37

wait i think i got it! so my main goal is to understand the inverse secant cosecant and cotangent of the functions!

Answer 38

:) :) use your Tablet ! and prove that to me !

Answer 39

are you doing that ?

Answer 40

im almost done with csc!

Answer 41

kk ! I'm waiting...Take your time !

Answer 42

i got tan!

Answer 43

Another Question ?

Answer 44

imeant cotagent!!

Answer 45

It wasn't csc^-1 ?!

Answer 46

im trying to find all three i also found csc^-1

Answer 47

take a look at this !

Answer 48

what does the arrows stand for?

Answer 49

\[\text{statement A} <=====>\text{statement B}\]
means statement A is equivalent to Satement B