Question

to prove that L.H.S = tan^2 A​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

LHS = 1+tan^2 A/1+cot^2 A

RHS = tan^2 A

to prove LHS = RHS

LHS = sec ^2 A/cosec^2 A

[ 2nd and 3rd trig identity used ]

LHS = 1/cos^2 A ÷ 1/sin^2 A

=> 1/cos^2 A × sin^2 A/1

=> sin^2 A/cos ^2 A

=> tan^2 A = RHS

hence proved