Question

(1+tan^2 o) /(1+cot^2 o)=tan^2 o​

Answer 1

Answer:

(1+tan²x) / (1+cot²x)

{now, we know that, 1+ tan²x = sec²x & 1+cot²x = cosec²x}

So,

sec²x/cosec²x

{Now, sec²x = 1/cos²x & cosec²x = 1/sin²x}

(1/cos²x) /(1/sin²x)

sin²x/cos²x

tan²x = RHS

(HENCE PROVEN)