SOLUTION: If sinA + cosecA = 2, find sin^5(A) + cosec^5(A)

If sin(A) + cosec(A) = 2,  it means that


sin(A) +  = 2.


    A well known fact is that  x +  = 2  implies  x = 1.


Hence,  sin(A) = 1.


Then   +  = 1 + 1 = 2.       ANSWER