Question

Find the exact value of ( an ^{-1}left(-frac{sqrt{3}}{3} ight) ). Write your answer in radians in terms of ( pi ). [ an ^{-1}left(-frac{sqrt{3}}{3} ight)= ]

          Find the exact value of ( 	an ^{-1}left(-frac{sqrt{3}}{3}
ight) ).
Write your answer in radians in terms of ( pi ).
[
	an ^{-1}left(-frac{sqrt{3}}{3}
ight)=
]
        
Find the exact value of ( 	an ^-1left(-fracsqrt33
ight) ).
Write your answer in radians in terms of ( pi ).
[
	an ^-1left(-fracsqrt33
ight)=
]

Added by Sid M.

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Precalculus
Precalculus
Cynthia Young 2nd Edition
Chapter 6
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Transcript

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00:01 Find the exact value of tan inverse tan inverse minus root 3 by 3 here all right so now here it will be it is asked for the radians like in terms of radians what will be the answer so now uh this could be also rewritten as tan inverse minus 1 upon root 3 right so we know that tan 30 is basically uh tan 30 means pi by 6 right so that means you can say that tan tan um you can say this is theta okay so this is theta so you can say that tan inverse minus 1 by root 3 that means this is equals to um it is basically minus 30 right minus 30 degrees i am talking about 30 degrees or you can also write it as uh let me just write here it should be minus 1 by root 3 so it should be equals to minus pi by 6 but we don't want a negative sign right so we want if you if you don't want the value in negative sign this could be also the correct answer but simply what you have to do is when in this case when you see any negative sign so that means you should add um what you have to add just add pi so that this is basically…
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