Question

Prove that
1 + tan²A/1+cot²A=tan²A​

Answer 1

Step-by-step explanation:

(1+tan²A)/(1+cot²A) =tan²A

L.H.S.

(1+tan²A) = sec²A = (1/cos²A)

(1+cot²A) = cosec²A = (1/sin²A)

(1/cos²A) / (1/sin²A) =1/cos²A×sin²A =sin²A/cos²A =tan²A

L.H.S. =R.H.S

Hence  Proved