If a = sin π/18 sin 5π/18 sin 7π/18, and x is the solution of the equation y = 2[x] + 2 and y = 3[x – 2], then a = ​

Question

If \(a = sin\frac\pi{18} sin\frac{5\pi}{18} sin\frac{7\pi}{18}\), and x is the solution of the equation y = 2[x] + 2 and y = 3[x – 2], then a =

(a) [x]

(b) 1/[x]

(c) 2[x]

(d) [x]²

Answer 1

Correct option is (b) 1/[x]