Coffin Problem: tan pi/7 tan 3pi/7 tan 5pi/7

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#Math #trigonometry #USSR

In this video we solve one of the “Coffin” problems, to evaluate tan pi/7 tan 3pi/7 tan 5pi/7.

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I share Maths problems and Maths topics from well-known contests, exams and also from viewers around the world. Apart from sharing solutions to these problems, I also share my intuitions and first thoughts when I tried to solve these problems.

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Would you make a playlist for these "Coffin Problems"?

user
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I believe, there must exist more easy solution in general way. For any positive integer k product of tan(i pi /(2k+1)) from i=1 to i=k is equal sqrt(2k+1).

ivankaznacheyeu
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How do you know to separate the tan7θ into tan(4θ+3θ)?

jayyhk
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How do you even solve it without paper.thats insane.It really is a COFFIN problem

Pivot
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well I didn't understand the last bit of the video.

shelumieldylen
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Am i blind or i totally dont see how from tg(4x+3x) you get to

Szynkaa
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If you're not allowed to use pen and paper, then you cheated.

jkid
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