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The expression tanA 1 - cotA + cotA 1 - tanA can be written as :

Options

  1. AtanA + cotA
  2. BsecA + cosecA
  3. CsinAcosA + 1
  4. DsecAcosecA + 1

Correct answer

D. secAcosecA + 1

Step-by-step solution

Given tanA 1 - cotA + cotA 1 - tanA = sin 2 A cosA sinA - cosA + cos 2 A sin A cosA - sinA = sin 3 A - cos 3 A sin   A   cos   A sin   A - cos   A = sin 2 A + cos 2 A + sin   A   cos   A sin   A   cos   A = secAcosecA + 1

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