Question

HELP AWARDING METAL!!

Find all solutions to the equation.

sin2x + sin x = 0

Answer 1

do-you-know-sin-cos-properties-reciprocal-functions??
sin^2=??

Answer 2

tbh, no.

Answer 3

sin (2x) = sinxcosx + cosxsinx = 2sinxcosx

Answer 4

thanks :)

Answer 5

i-guess-2-is-exponent-right?

Answer 6

sin(x)(1+2cosx).
So, sin(x)(1+2cosx)=0 when sin(x)=0 or 1+2cosx=0

Answer 7

That's it?

Answer 8

yep

Answer 9

Well, do you think you can handle from there?

Answer 10

No not really?

Answer 11

Ok, so 2cosx = -1 and sinx=0

Answer 12

yea?

Answer 13

Now you have to find the x on those equations.

Answer 14

sin x = 0 is easy, just npi, with n integer.

Answer 15

Oh, ok

Answer 16

2cosx=-1 so cosx=-1/2
so x = 2pi/3 + 2pi n, with n integer
or
x=4pi/3 + 2pi n, with n integer

Answer 17

Oh, so that's it?

Answer 18

I think that's it. If i didn't make any mistakes.

Answer 19

Wow, your like a genius.

Answer 20

Thank you :::)

Answer 21

I'm surely not.
You're welcome. =)

Answer 22

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

2 sin2x = sin x