Question

solve the question correctly
pls help​

Answer 1

Heya Mate!!

Here's your answer!!

1  + tan²A/1 + cot²A = sec²A / cosec²A = tan²A

(1 - tanA)²/(1 - cotA)² = 1 - 2tanA + tan²A/ 1 - 2cotA + cot²A

=  sec²A - 2tanA/ cosec²A - 2cotA

= ( 1/cos²A - 2sinA/cosA )/(1/sin²A - 2cosA/sinA)

= [(1 - 2sinAcosA)/cos²A]/[(1 - 2sinAcosA)/sin²A]

= [(1 - 2sinAcosA)/cos²A] × [ sin²A/(1 - 2sinAcosA)]

= sin²A/cos²A

= tan²A

HENCE PROVED.

Hope it Helps you!!

Cheers :D

#foreverJungkook