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DanielJackins
Sep12-09, 10:47 PM
1. The problem statement, all variables and given/known data

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

[b]3. The attempt at a solution

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

Thanks

Bohrok
Sep12-09, 11:02 PM
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
Sep12-09, 11:16 PM
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
Sep13-09, 05:14 AM
As Bohrok pointed out when x is a solution so too is pi-x