Math, asked by sona3131, 10 months ago

(1-tan^2A/1-cot^2A)=tan^2A

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Answered by Anonymous
1

Hey mate here is your answer..................

(1-tan²A/1-cot²A) = tan²A

LHS= (1-sin²A/cos²A)/(1-cos²A/sin²A)

      = (cos²A-sin²A/cos²A)/(sin²-cos²A/sin²A)

      = sin²A(cos²A-sin²A)/cos²A(sin²A-cos²A)

     = -sin²A(sin²A-cos²A)/cos²A(sin²A-con²A)

     = -tan²A

HOPE IT HELP YOU...................:)

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