if sin ^ 2 x =sin 4 x.what is x.pls help

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if sin ^ 2 x =sin 4 x.what is x.pls help

Mathematics
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\[\sin ^{2}x=\sin4x\]
= +4 , - 4 but I'm not sure
do you have a selections of answer?

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Other answers:

there are many solutions here.....
some solutions are 0,180 360 degrees
if tried plugging in identities but got nowhere. by inspection one solution is sin x = 0
for advanced students you can use newtons method of iteration
lets try again sin^2x = 2 sin2xcos2x 1/2 - (1/2)cos2x = 2 cos2xsin2x this might be the way to go i have to go now
geee my pc keeps hanging up...lol
the best way of getting a solution roots is to use newtons method here, but its pretyy advanced for high school students who didnt take calculus yet..lol....
right
i graphed this on my calculator and there are 9 roots between 0 and 360 degrees!! 0, 180, 360, 39.1, 106.7, 124.2, 219.1, 286.7, 304.2 mark was right! many roots!
tnx a lot guys!!

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