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There will be 4 possible solutions if all you are looking for is the angles, so you will need to find out which quadrant your angle is in.

2sin²x = sin x **Subtract sin x from both sides.

2sin²x - sin x = 0 **Then factor out sin x.

sin x(2sin x - 1) = 0 **Set each equal to zero. (AB=0 is the same as A=0 OR B=0).

sin x = 0 or 2sin x - 1 = 0 to 2sin x = 1 to sin x = 1/2

At this point all that is left to do is find out where sin x = 0 or 1/2, which is 0, 180 for sin x = 0 or 30, 150 for sin x = 1/2.

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โˆ™ 2015-09-06 20:22:24
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lenpollock

Lvl 11
โˆ™ 2021-05-31 11:14:14

2Sin^2X = SinX

Divide through by 'SinX'

Hence

2SinX = 1

SinX = 1/2

X = Sin^-1(1/2)

X = 30, 150, ,210, 330, et.seq.,

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Dereck Kozey

Lvl 1
โˆ™ 2021-06-03 04:05:41
im not sure this is right...
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Kelli Prosacco

Lvl 1
โˆ™ 2021-06-03 07:05:44
idk if thats rite

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Q: How do you solve 2 sin squared x is equal to sin x?
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