Math, asked by hadijr777, 1 year ago

prove that question please answer it fast its my hw

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Answered by sandy1816
0

Step-by-step explanation:

1+tan²A/1+cot²A=1+(sin²A/cos²A)/ 1+(cos²A/sin²A)

=(cos²A+sin²A)/cos²A÷(sin²A+cos²A)/sin²A

=cos²A/sin²A

=tan²A

(1-tanA/1-cotA)²={1-(sinA/cosA)÷ 1-(cosA/sinA)}²

=(cosA-sinA/cosA×sinA/sinA-cosA)²

={-(sinA-cosA)/cosA×sinA/(sinA-cosA)}²

=(-tanA)²

=tan²A

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