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Question

If inblank increment A B C comma sin invisible function application A cos invisible function application B equals fraction numerator square root of 2 minus 1 over denominator square root of 2 end fraction and sin invisible function application B cos invisible function application A equals fraction numerator 1 over denominator square root of 2 end fraction comma blankthen the triangle is

  1. Equilateral  
  2. Isosceles  
  3. Right angled  
  4. Right-angled isosceles  

The correct answer is: Right angled


    Adding, sin invisible function application open parentheses A plus B close parentheses equals 1
    and subtracting, sin invisible function application open parentheses A minus B close parentheses equals fraction numerator square root of 2 minus 2 over denominator square root of 2 end fraction equals 1 minus square root of 2 not equal to 0
    therefore A plus B equals 90 degree comma blank A not equal to B

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