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Show that the triangle is a right triangle

  1. Apr 29, 2009 #1

    bbanbury

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    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
  2. jcsd
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  3. Apr 29, 2009 #2

    konthelion

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    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

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    Yeah, compound angle formulae a-gogo!
     
    Chewy0087, Apr 29, 2009
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