Find the Second Solution for sinx = A | Trigonometry Question

[DanielJackins]

Homework Statement

Suppose that x=7pi/23 is a solution of the equation sinx= A where A is some constant.
Then A must be equal to [blank], and the other solution of the equation in the interval [0,2pi] must be x = [blank].

The Attempt at a Solution

So I've plugged the value into my calculator and found A, but I completely forget Trigonometry. How would I go about finding the second solution?

Thanks

 

[Bohrok]

The identity you need to use is sinx = sin($\pi$ - x). Can you see how this shows the symmetry of sinx in the first and second quadrant where two x values give the same A value?

 

[DanielJackins]

Not really, I can see it in my calculator but I don't completely understand it :P and should I be getting a different value?

 

[lurflurf]

As Bohrok pointed out when x is a solution so too is pi-x