Question

prove cosec^4 a - cosec^3 a . cot^3 a = cosec^2 a​

Answer 1

Answer:

To prove cosec A- cosec²A = cot+ A + cot² A

LHS = (cosec²A)² - cosec²A = 1 + 2cot² A + cot4 A-1-cot² A = cot² A + cot* A

= (1 + cot² A)²-(1 + cot² A)

= RHS

Hence, Cosec A- cosec²A = cot4 A + cot² A

+1+3001¹ A+ A DOUA

[cosec²A = 1 + cot² A]