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COMEDK2013MathematicsTrigonometric Ratios & Identities

If A+B+C=180^ , then A 2 B 2 is equal to

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

B. 1

Step-by-step solution

We have, A+B+C= A+B= -C A 2 + B 2 = 2 - C 2 ( A 2 + B 2 )= ( 2 - C 2 ) A 2 + B 2 1- A 2 B 2 = C 2 A 2 + B 2 1- A 2 B 2 = 1 C 2 C 2 A 2 + B 2 C 2 =1- A 2 B 2 A 2 B 2 + B 2 C 2 + C 2 A 2 =1 A 2 B 2 =1

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