Question

1+tan²A/1+Cot²A=tan²A
Prove it?

Answer 1

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Answer 2

Answer:

L.H.S=1+Tan²A/1+Cot²A

=sec²A/Cosec²A. [:.1+Tan²A=Sec²A]

=1/Cos²A/1/Sin²A. [1+ Cot²A=Cosec²A]

=Sin²A/Cos²A. [1/Cos²A=sec²A]

=Tan²A. [Cosec²A=Sin²A]

=R.H.S. [:. Tan²A=Sin²A/Cos²A]