Question

1+tan²theta / 1+ cot²theta =tan²
theta​

Answer 1

Step-by-step explanation:

LHS

1+tan²theta/1+ cot²theta

sec²theta/1+ cot²theta (since 1+ tan²theta = sec²theta)

sec²theta/cosec²theta (since 1+ cot²theta = cosec²theta)

sin²theta/cos²theta (since sec theta=1/cos theta and

cosec theta=1/sin theta)

tan² theta (since tan theta = sin theta/cos theta)

therefore LHS=RHS