Olympiad Maths Prep

Track / Stage 4 / 114 of 340 #374 of 2000

Problem 374

AMC 12 late, AIME early
Algebra Difficulty 4.7 Find the answer

11. The smallest positive period of the function f(x)=2sinx23cosxf(x)=2 \sin \frac{x}{2}-\sqrt{3} \cos x is

Official solutions — 2

Solution 1

4π4 \pi \qquad .

Answer: The smallest positive period is 4π4 \pi.

Solution 2

(11) 4π4 \pi

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