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{ tg x } = sinx (III Soros Olympiad 1996-97 R1 11.1)

Source:

May 29, 2024
trigonometryalgebrafractional part

Problem Statement

Find the smallest positive root of the equation {tgx}=sin⁡x.\{tg x\}=\sin x. ({a}\{a\} is the fractional part of aa, {a}\{a\} is equal to the difference between a a and the largest integer not exceeding aa.)
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