Avoiding a Double Peak

★ 7/10trigonometry number theory Counting Modular Arithmetic

Problem

Let $f(x) = \sin\omega x + \sin 2x$ , where $\omega$ is a positive integer with $\omega \leqslant 2023$ . If $f(x) < 2$ for all $x$ , how many values of $\omega$ are possible?

Answer

Solution

Difficulty	7/10
Topics	trigonometry, number theory, Counting, Modular Arithmetic

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.