Question

Find all solutions to the equation: sin^2 x + sin x = 0

Answer 1

\[\large \bf \sin^2x+sinx=0\]
Take sinx common,
\[\large \bf sinx(sinx+1)=0\]
so either sinx=0 or (sinx+1) is 0

Answer 2

and do remaining part yourself .. @ic0r understood?

Answer 3

Here’s what I did:

sin x = i

a^2 + a = 0
a(a+1) = 0
* a =0
* a = -1

sin x = 0 => x = 180˚
sin x + 1 = 0 => x = 270˚

I convert those angles to radians: π, and 3π/2.

Am I doing this correctly?

Answer 4

It’s the latter part that I am not sure about @mayankdevnani

Answer 5

I don’t think π and 3π/2 are all the solutions

Answer 6

See,
if \(\large \bf six=0\),then
the solution is :-
\[\large \bf x=n \pi ,~where~ n \in I\]

Answer 7

and if sinx=-1,
then the solution is :-
\[\large \bf x=(4n-1)\frac{\pi}{2},~where~n \in I\]

Answer 8

hope you understand. @ic0r

Answer 9

and also \[\large \bf \color{red}{Welcome}~To~\color{blue}{Open}~\color{green}{Study}\]

Answer 10

You lost me at x = nπ.

Answer 11

see when sinx=0,
REMEMBER :- general solution of x=n pi where n is integer
like,x=pi,2 pi etc. all give the value ZERO.
or you can say that x=180 degrees,360 degress etc.-----> Value=0

Answer 12

I actually have no idea what you are talking about, I'm really confused. Is the step that I got x = pi and 3pi/2 correct?

Answer 13

yeah...you are correct.

I am explaining that how this value come about ?
By the way,good job :) @ic0r

Answer 14

So those are all the solutions of the equation? I'm in doubt for a little bit.

Answer 15

yeah !!

Answer 16

That's it? Have I been overthinking?

Answer 17

what ?

Answer 18

@ic0r there is a rule of OPEN STUDY that if anyone gave your answer correctly,then you have to give MEDAL to that user.

To give medal,there is option bar BEST RESPONSE right side to my comment and press it,you gave medal to that user.

Answer 19

understood? @ic0r

Answer 20

So I have been correct on my answer?

Answer 21

yeah! absolutely correct

Answer 22

Thank you so much for your help! I appreciate it a lot! @mayankdevnani

Answer 23

welcome :)