1/sin18 - 1//sin54 = 2

We are given with the equation

1/sin 18 - 1/sin 54 = 2

We are meant to verify if the equation is true

So,

(sin 54 - sin 18) / sin 18 sin 54 = 2

sin 54 - sin 18 = 2 sin 18 sin 54

sin 18*3 - sin 18 = 2 sin 18 sin 18*3

Use trigonometric identities to verify the equation.

The identities to use are the double and product of angles.