Question

If x=acosectheta+bcottheta and y=acottheta+bcosectheta prove that x2-y2=a2-b2

Answer 1

let x=a=3
and y=b=2



x2-y2=a2-b2
3^2 - 2^2 = 3^2 - 2^2
9 - 4 = 9 - 4
5 = 5
LHS=RHS