[" 14.The expression "((cos A+cos B)/(sin A sin B))^(n)],[+((sin A+sin B)/(cos A-cos B))^(n)]

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

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

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

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)=

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."):}.

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

The value of ((cos A + coa B)/( sin A - sin B)) ^(2015) + ((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