Math, asked by janhavivaradkar80162, 4 months ago

tan²A/1+tan²A+cot²A/1+cot²A=1​

Answers

Answered by krishshazia
0

Answer:Hey friend

Here is your answer

TO PROVE:

(1-tan²A) / (cot²A-1)=tan²A

PROOF :

LHS:

=(1-tan²A) / (cot²A-1)

=[1-(sin²A/cos²A)] / [(cos²A/sin²A)-1]

=[(cos²A-sin²A)/cos²A]÷[(cos²A-sin²A)/sin²A]

[CANCELLING cos²A-sin²A from both the numerator and denominator ]

=(1/cos²A)÷(1/sin²A)

=sin²A/cos²A

=tan²A

=RHS

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HOPE THIS HELPS YOU ☺

Step-by-step explanation:

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