## marasofia1616 Find all solutions in the interval [0, 2π). 2 sin2^x = sin x one year ago one year ago

1. sabika13

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

2. marasofia1616

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

3. marasofia1616

sorry this is how it looks like

4. jatinbansalhot

pi / 4 = 45 5pi / 4 = 135

5. jatinbansalhot

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