Question

Prove that cot^2 A cosec^2B - Cot^2 B cosec^2A = cot^2A - Cot^2B.​

Answer 1

Answer:

• REQUIRED ANSWER :)

LHS = cot² A cos ec² B - cot² B ec² A

= cot² A ( 1 + cot² B) - cot² B ( 1 + cot² B)

= cot² A + cot² A cot² B - cot² B - cot² B cot² A

= cot² A - cot² B

HENCE PROVED

Note :-

[ cos ec² Φ = 1 + cot² Φ ]