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MHT CET · Maths · Trigonometric Ratios & Identities

If A, B, C are the angle of ΔABC then cotAcotB+cotBcotC+cotAcotC=

  1. A 0
  2. B 1
  3. C 2
  4. D -1
Verified Solution

Answer & Solution

Correct Answer

(B) 1

Step-by-step Solution

Detailed explanation

Given A+B+C=π
A+B=πC
cot( A+B )=cot( πC )
cotAcotB1 cotA+cotB =cotC
cotAcotB1=cotAcotCcotBcotC
cotAcotB+cotBcotC+cotAcotC=1