1. Apr 29, 2009 #1

   bbanbury

   

   If angles A, B, and C are the angles of a triangle such that sin(A+B)=1/sin(C) and cos(A+B)=cos(C), then show that the triangle is a right triangle.

    

   bbanbury, Apr 29, 2009
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3. Apr 29, 2009 #2

   konthelion

   

   You need to show your work. But for starters, one way that you can approach this problem is to solve for "A+B" in both equations in terms of "C". Then you can solve for "C" using these two equations. Last, solve for A and B.

    

   konthelion, Apr 29, 2009
4. Apr 29, 2009 #3

   Chewy0087

   

   Yeah, compound angle formulae a-gogo!

    

   Chewy0087, Apr 29, 2009

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