What is the result of the next equation: sin(2x)=3/2 ?

I put it through Wolfram|Alpha - here is the address

https://www.wolframalpha.com/input/?i=sin%282x%29%3D3%2F2

I don't think there are any complex solutions.  

Someone else will probably comment on this.

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$$$$Now anonymousperson,

If you go to the insert dropdown list - choose special character (second from the bottom) ≤ this symbol is in the second line. 

or if you open the LaTex box and type in 5\le 6  the display will be as shown below.

$$5\le 6$$

the \ indicates that le is a functions and le stands for less than or equal to

I really want people to learn LaTex because you can write almost any math thing in there and once you get used to it it is quick quick.  

The sine function can only have values between ±1 so there is no way it can be 3/2.

Yes, this is the right answer.

Sorry but Alan is right. It can never equal 3/2

I have graphed y=sin(2x)

If you look at the graph you can see that the y value can never be 3/2!

http://gyazo.com/198b29355c34732203b2522a0e60219c

sin2x=3/2

sin2x=1.5

Since -1<sin2x<1, there are no solutions for x.

*By <, I actually mean the sign "less than or equal to" (I haven't learned how to type that symbol yet).

don't forget about complex numbers. There is no solution only for real numbers