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MHT CET2018MathematicsTrigonometric Ratios & Identities

If A , B , C are the angle of Δ A B C then cot A cot B + cot B cot C + cot A cot C =

Options

  1. A0
  2. B1
  3. C2
  4. D- 1

Correct answer

B. 1

Step-by-step solution

Given A + B + C = π ⇒ A + B = π − C ⇒ cot ( A + B ) = cot ( π − C ) ⇒ cot A cot B − 1 cot A + cot B = − cot C ⇒ cot A cot B − 1 = − cot A cot C − cot B cot C ⇒ cot A cot B + cot B cot C + cot A cot C = 1

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