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

373839 ###### 2015-09-06 20:22:24

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.

2sinÂ²x = sin x **Subtract sin x from both sides.

2sinÂ²x - 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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