Trigonometry question

  • #1

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

Thanks
 

Answers and Replies

  • #2
867
0
The identity you need to use is sinx = sin([itex]\pi[/itex] - 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?
 
  • #3
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?
 
  • #4
lurflurf
Homework Helper
2,432
132
As Bohrok pointed out when x is a solution so too is pi-x
 

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