`((cos A+cos B)/(sin A-sin B))^n +((sin A+sin B)/(cos A-cos B))^n` when n is odd, is-

((cos A+cos B)/(sin A-sin B))^(2007)+((sin A+sin B)/(cos A-cos B))^(2007)=

If n is an odd integer than ((cos A + cos B)/( sin A - sin B))^(n) + ((sin A + sin B)/(cos A- cos B))^(n)=

if ( cos A + cos B )/( sin A + sin B ) = k ( (sin A - sin B)/ ( cos A- cos B)) then k is

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.

Prove that ((cos A + cos B)/( sin A - sin B )) ^(n) + ((sin A + sin B )/( cos A - cos B )) ^(n) ={{:(2 cot ^(n) ((A- B)/(2)),"," "if n is even."),(0,",""if n is odd."):}.

((cos A + cos B) / (sin A-sin B)) ^ (20115) + ((sin A + sin B) / (cos A-cos B)) ^ (2015) =

prove that ((cos A+cos B)/(sin A-sin B))^(n)+((sin A+sin B)/(cos A-cos B))^(n)=2cot^(n)((A-B)/(2)),n is even

Prove that: ((cos A+cos B)/(sin A-sin B))^(n)+((sin A+sin B)/(cos A-cos B))^(n)={2cot^(n)((A-B)/(2)),quad if niseven0,if nisodd