Track / Stage 4 / 110 of 340 #370 of 2000

1. Find the largest solution on the interval $[0 ; 10 \pi]$ of the equation $|2 \sin x-1|+|2 \cos 2 x-1|=0$.

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Official solution

Round the answer to three significant figures according to the rules of rounding and enter it in the provided field.

Answer: 27.7

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.