Question

Find all solutions to the equation in the interval [0, 2π).

sin 2x - sin 4x = 0

I NEED HELP I DON'T UNDERSTAND THIS CRAP.

Answer 1

srry dont really know

Answer 2

im only in geomerty

Answer 3

how helpful of you!

Answer 4

is it multipulchoise

Answer 5

sin(2x) + sin(4x) = 0

sin(2x) + 2sin(2x)cos(2x) = 0

sin(2x)[1 + 2cos(2x)] = 0

sin(2x) = 0

or 2cos(2x) = -1 -> cos(2x) = -1/2

when sin(2x) = 0

2x = 0, pi, 2pi, 3pi

x = 0, pi/2, pi, 3pi/2

when cos(2x) = -1/2

2x = 2pi/3, 4pi/3, 8pi/3, 10pi/3

x = pi/3, 2pi/3, 4pi/3, 5pi/3

so x = 0, pi/2, pi, 3pi/2 , pi/3, 2pi/3, 4pi/3, 5pi/3

@jim_thompson5910 is thsi correct?

Answer 6

sin(2x) = sin(4x)
sin(2x) = sin(2*2x)
sin(2x) = 2sin(2x)cos(2x)
2sin(2x)cos(2x) - sin(2x) = 0
sin(2x) * (2cos(2x) - 1) = 0
sin(2x) = 0 or cos(2x) = 1/2
x = 0 + n•π/2, π/6 + n•π, 5π/6 + n•π

x = 0, π/6, π/2, 5π/6, π, 7π/6, 3π/2, 11π/6, 2π

Answer 7

As the king I demand you take your sluttish Profile Picture off and put something more holy. What would your parents say.

Answer 8

a. π/6 , π/2 , 5π/6 , 7π/6 , 3π/2, 11π/6
b. 0, π/6 , π/2 , 5π/6 , π, 7π/6 , 3π/2, 11π/6
c. 0, 2π/3, 4π/3
d. 0, π/3, 2π/3, π, 4π/3, 5π/3

Answer 9

as reaper i sujuest u shh or die

Answer 10

My lord, You people can't take a joke.

Answer 11

i was jst kiddn

Answer 12

@AFleming42 dose that help u at all??

Answer 13

Oh, I wasn't that is a very sluttish picture. Parents you watch what there kids wear these days.

Answer 14

that was a graduation party

Answer 15

How did you get that answer @Reaper534 ?

Answer 16

by the power of google hahaha

Answer 17

Alright well I'll take google's word on it and hope for the best!

Answer 18

thanks mucho(:

Answer 19

Your welcome :)

Answer 20

Glad i could help.

Answer 21

Lukecrayonz you are correct, so that would make the answer choice B

Answer 22

In that case thank you again @jim_thompson5910 !

Answer 23

didn't do much, Lukecrayonz did all the work really

Answer 24

good job @Lukecrayonz (: <3

Answer 25

thanks cutie can i get your number

Answer 26

message me(;

Answer 27

ernies back