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MATH / If a and b are positive integers such that

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

If aa and bb are positive integers such that 8+32+768=acosπb, \sqrt{8 + \sqrt{32 + \sqrt{768}}} = a \cos \frac{\pi}{b} \, , compute the ordered pair (a,b)(a, b).
Plain-text mathematical notation (without MathML)
If a and b are positive integers such that
√(8+√(32+√(768)))=acos(π)/(b) ,compute the ordered pair (a,b).
Original LaTeX notation
If $a$ and $b$ are positive integers such that
\[
  \sqrt{8 + \sqrt{32 + \sqrt{768}}} = a \cos \frac{\pi}{b} \, ,
\]compute the ordered pair $(a, b)$.

level

Level 5

type

Precalculus

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Source and history

task_id
9ef23899-a650-5c3d-9e15-12447243b2b1
task_key
precalculus--test--9ef23899-a650-5c3d-9e15-12447243b2b1
task_revision_id
1
config / split
precalculus / test

Official source

initial import