Please Help !
The domain of y = cot x is given by
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Question

Please Help !
The domain of y = cot x is given by 
(Attachment)

anonymous · Answer

attachment

anonymous · Answer

Please Someone Help Me ! I'd be so grateful

primeralph · Answer

Just try any n*pi and see if the answer is defined.

tkhunny · Answer

$\cot(x) = \dfrac{\cos(x)}{\sin(x)}$.  This is defined everywhere except where $\sin(x) = 0$

anonymous · Answer

So its False ?

primeralph · Answer

How do we say this? It's not not not not true.

tkhunny · Answer

Where is $\sin(x) = 0$?

tkhunny · Answer

Confused by what?  Answer the question.

zzr0ck3r · Answer

sin(x) cant be equal to zero
because then you would be dividing by 0
cot=cos/sin
sin(x) = 0 when x = n*pi where n is natural
so we must leave those out

tkhunny · Answer

What?  sin(x) certainly can be zero.  Wherever sin(x) = 0, the cotangent function fails to exist.  This is the nature of the Domain of the cotangent function.  This is the whole point of the question.  I ask again, where is $\sin(x) = 0$?

anonymous · Answer

Oh okay, thank you for that explanation @zzr0ck3r I understand it now (: Your awesome !

anonymous · Answer

when x = integral multiples of Pi
=> x = n*pi

anonymous · Answer

@tkhunny

anonymous · Answer

I got it right it was TRUE !

tkhunny · Answer

Yea!  Good work.