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Mathematics 9 Online
OpenStudy (anonymous):

Can someone explain why tanπ=0 doesn't imply that arctan0=π?

myininaya (myininaya):

it does

OpenStudy (anonymous):

That's what I thought. Thank you.

myininaya (myininaya):

what maybe i'm wrong arctan0=0

OpenStudy (anonymous):

Oh dear...I was wrong then also...That makes sense because zero is normally always zero when plugged into a trig function.

myininaya (myininaya):

cos(0)=1

myininaya (myininaya):

arctan is the inverse of tan its weird when you take arctan of both sides it should still hold unless I'm missing something

myininaya (myininaya):

arctan(tanpi)=arctan(0) pi=arctan(0)

myininaya (myininaya):

omg i totally forgot we have to restrict the domain of tan so that tan would have inverse and pi is outside that domain

OpenStudy (anonymous):

omg...SHOOT ME!

myininaya (myininaya):

for reals tan is not one to one so we have to make it one to one so it does have a freaking inverse

myininaya (myininaya):

i'm such an idiot

OpenStudy (anonymous):

YOU?! At least you are able to figure this out!!! I can't for the life of me! :D

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