Question

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

Answer 1

\[\sin ^{2}x=\sin4x\]

Answer 2

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

Answer 3

do you have a selections of answer?

Answer 4

there are many solutions here.....

Answer 5

some solutions are 0,180 360 degrees

Answer 6

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

Answer 7

for advanced students you can use newtons method of iteration

Answer 8

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

Answer 9

geee my pc keeps hanging up...lol

Answer 10

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....

Answer 11

right

Answer 12

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!

Answer 13

tnx a lot guys!!