All the pair (x,y) that satisfy the inequality `2^(sqrt(sinx-2sinx+5)).(1)/(4^(sin^(2)y))le1` also satisfy the equation

All the pairs (x,y) that satisfy the inequality 2^(sqrt(sin^(2)x-2sin x+5))*(1)/(4^(sin^(2)y))<=1 also satisfy the equation :

All the pairs (x, y) that satisfy the inequality 2 ^(sqrt(sin^(2) x - 2 sin x + 5) ) . (1)/(4 ^(sin^(2) y)) le 1 also satisfy the equation :

The value of x satisfying the equation sinx+(1)/(sinx)=(7)/(2sqrt(3)) is given by -

The number of pairs (x,y) which will satisfy the equation x^(2)-xy+y^(2)=4(x+y-4) is