Math CentralQuandaries & Queries


Question from Rosie, a student:

Please help me with finding the solution to:
(3)^1/2 * tan(t/3) = 1. Thank you.

Hi Rosie,

If √3 × tan(t/3) = 1 then you can divide both sides by √3 and get

tan(t/3) = 1/√3

There is a triangle that is worth remembering, the so called 30-60-90 triangle.

30-60-90 triangle

If the angles of a triangle measure 30, 60 and 90 degrees then the lengths of the sides are in the ratio of 1 to 2 to √3.

I hope this helps,

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