the equation cosß = t + a⁄t , t € R ( t ≠ 0) has a real solution of ß.Then the boundary satisfied by a is

H i Prakhar,

|t + a⁄t| < 1

implies

t²+ a - t < 0 if t>0

and

t²+ a - t > 0 if t<0

Now use inequalities and the graph of y = x²+ a - x

to find out the range of values of a

Regards

Rajat