## anonymous 5 years ago if sin ^ 2 x =sin 4 x.what is x.pls help

1. anonymous

$\sin ^{2}x=\sin4x$

2. anonymous

= +4 , - 4 but I'm not sure

3. anonymous

do you have a selections of answer?

4. anonymous

there are many solutions here.....

5. anonymous

some solutions are 0,180 360 degrees

6. anonymous

if tried plugging in identities but got nowhere. by inspection one solution is sin x = 0

7. anonymous

for advanced students you can use newtons method of iteration

8. anonymous

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

9. anonymous

geee my pc keeps hanging up...lol

10. anonymous

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....

11. anonymous

right

12. anonymous

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!

13. anonymous

tnx a lot guys!!