Question

Total number of ordered pairs (x, y) satisfying |y| = cosx and y = sin^–1 (sin x) where |x| £ 3p, is equal to-

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

Answer: (C)

6

Answer 2

– $\frac{\pi}{2}$ £ sin^–1 x £ $\frac{\pi}{2}$ \ sin^–1 x_i = $\frac{\pi}{2}$

\ x_i = 1, 1 < i < 1000

$\sum_{i = 1}^{1000}x_{i}$= 1000.