Question

Find the least value of a for which the equation 4/sinx + 1/(1 – sinx)  = a has at-least one solution in the interval ( 0, π/2).

Answer 1

The given equation is

Put the value of sinx = 2/3 in (i), we get,

a = 4/(2/3)   + 1/(1 – 2/3)

= 6 + 3 = 9