Your friend Finn has this homework problem: (#). 20 Simpify arctana(tan): as much as possible. 20 Finn is insisting that the answer is - 11 But you know that's not true. Explain why not. And tell him what the correct answer is and why. Be sure your answer is exact (which means no decimals allowed - it also means you can't use your calculator to answer.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.10: Inverse Variation
Problem 17P
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Your friend Finn has this homework problem:
20
Simplify arctan ( tan(
as much as possible.
20
Finn is insisting that the answer is
11
But you know that's not true.
Explain why not.
And tell him what the correct answer is and why.
Be sure your answer is exact (which means no decimals allowed - it also means you can't use your
calculator to answer.)
Please neatly write your explanation out by hand, take a picture of your answer and upload it here.
(By the way, if your instructor was explaining it, your instructor would definitely use a drawing in the
explanation.)
It is wrong because 20pi/11 is not in the correct range for tan. So you would need to do 20pi/11 -pi
which would put you in the correct range of 9pi/11.
Transcribed Image Text:Your friend Finn has this homework problem: 20 Simplify arctan ( tan( as much as possible. 20 Finn is insisting that the answer is 11 But you know that's not true. Explain why not. And tell him what the correct answer is and why. Be sure your answer is exact (which means no decimals allowed - it also means you can't use your calculator to answer.) Please neatly write your explanation out by hand, take a picture of your answer and upload it here. (By the way, if your instructor was explaining it, your instructor would definitely use a drawing in the explanation.) It is wrong because 20pi/11 is not in the correct range for tan. So you would need to do 20pi/11 -pi which would put you in the correct range of 9pi/11.
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