IF sin x= 5/3 what is the sin 2x equal to?

Question

IF sin x= 5/3 what is the sin 2x equal to?

Answer 1

no idea but you should drop Math

Answer 2

sinx=5/3

If x is a real number, we can't find a solution.

But with complex numbers, we can actually solve any algebraic equation.

Using Matlab

sinx=5/3

x=1.5708 - 1.0986i

sin2x=0.0000+4.4444i

is a pure imaginary number.

Answer 3

sin(x) cannot equal 5/3, because -1 <= sin(x) <= 1

Answer 4

The sine of an angle can never be greater than 1.  Therefore x does not exist in the real numeric sense.  So sin(2x) suffers the same fate.

Answer 5

anything you desire since your hypothesis is false

Answer 6

sin x = 5/3 is not possible as |sin x| < 1

hence question is wrong

Answer 7

-1 <= sinx <= 1  so sinx cannot equal 5/3.

ANSWER

Answer 8

You made a mistake in your question,  'sinx' can never be greater than 1 !

So I figured you must have made an error and have taken sinx = 3/5 instead

Now we know

2sinx cosx = sin2x

And sinx = 3/5  =>  cosx = 4/5

Thus sin2x = 24/25

But if your sure that your question is correct then the answer is Undefined or not existant.  

Answer 9

multiply 5/3 by 2 to get your answer

Answer 10

the inverse sin of 5/3 is calc. error.

so the answer is sin 2(calc. error)