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

The expression tanA1-cotA+cotA1-tanA can be written as :
  1. tanA+cotA
  2. secA+cosecA
  3. sinAcosA+1
  4. secAcosecA+1

Solution

Given tanA1-cotA+cotA1-tanA

=sin2AcosAsinA-cosA+cos2AsinAcosA-sinA

=sin3A-cos3Asin A cos Asin A-cos A

=sin2A+cos2A+sin A cos Asin A cos A

=secAcosecA+1

Asked in: JEE Main 2013 (07 Apr)

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