Question

prove that: cot A + tan A= cosec A sec A​

Answer 1

Answer:tan A + cot A=sec A cosec A

LHS=tan A +cot A

      =sin A/cos A+ cos A/sin A

     =(sin^2 A+cos^2 A)/cos A sin A

     =1/cos A sin A

     =sec A cosec A

      =RHS

Hope it helps!

Answer 2

Answer:

CotA + tanA = cosecA. secA

Taking LHS

= cotA + tanA

= cosA/sinA +sinA/cosA

= cosA² +sinA²/sinA. cosA

= 1/ sinA. cosA. (using Identity sin²A + Cos²A =1)

Taking RHS

=cosecA. secA

=1/sinA.1/cosA

=1/sinA.cosA

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