Question

Prove this math problem​

Answer 1

Answer:

LHS

= (cosec A - sin A)^2 + (sec A - cos A)^2 - (tan A - cot A)^2

= cosec^2 A + sin^2 A - 2sinAcosecA + sec^2 A + cos^2 A - 2sec A cos A - tan^2 A - cot^2 A + 2tanA cot A

= (cosec^2 A - cot^2 A) + (sec^2 A - tan^2 A) + (sin^2 A + cos^2 A) - 2 - 2 + 2

= 1+1+1-2 = 1

= RHS

Hope this helps you !