prove that `((cosA+cosB)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n=2cot^n((A-B)/2)` , `n` is even

Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2) ,if n is even, 0 if n is odd,

Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2),ifni se v e n0,ifni sod d,

Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2),ifni se v e n0,ifni sod d,

Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2),ifni se v e n0,ifni sod d,

Prove that ((cosA+cosB)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n=2cot^n((A-B)/2) or according as n is even or oddrespectively..

If none of the denominators is zero, prove that. ((cosA+cosB)/(sinA-sinB))^(n)+((sinA-sinB)/(cosA+cosB))^(n) = {(2cot^(n)((A-B)/(2)), if n "is even"),(0, if n "is odd"):} .

Prove that ((cos A+cos B)/(sinA-sinB))^(n)+((sinA+sinB)/(cos A-cosB))^(n) =2cot^(n)""(A-B)/(2) or 0, accordingly as n is even or odd.

((cosA+cosB)/(sinA-sinB))^(2012)+((sinA+sinB)/(cosA-cosB))^(2012)=

prove that, ((cos A + cos B)/(sin A - sin B))^(n) + ((sinA+sinB)/(cos A - cosB))^(n) = 2 "cot" ^(n) (A-B)/2 or 0 accordingly as n an even or odd integer.

Find the value of ((cosA+cosB)/(sinA-sinB))^(n)+((sinA+sinB)/(cosA-cosB))^(n) (where, n is an even)