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## anonymous 3 years ago Find all solutions in the interval [0, 2π). 2 sin2^x = sin x

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1. anonymous

$2\sin 2^{x}=\sin x$ are you sure it looks like that?

2. anonymous

$2 \sin ^{2}x=\sin x$

3. anonymous

sorry this is how it looks like

4. anonymous

pi / 4 = 45 5pi / 4 = 135

5. anonymous

2 sin^2 x = sin x 2 sin x = 1 dividing both sides by sin x sin x = 1 / 2 dividing both sides by 2 arcsin (1/2) = x so x = pi/4, 5pi/4

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