AM-2482

Graphs of sine and cosine

A Math · Secondary 4 · Medium · Graphs of sine and cosine

Sketches of

y=2\cos x

and

y=1-\sin(2x)

for

0\le x\le 2\pi

are drawn on the same axes. Using these graphs, how many distinct solutions does

2\cos x+\sin(2x)=1

have in this interval?

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