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Let x + 1 x = 2, y + 1 y = - 2 and sin − 1 x + cos − 1 y = m π,   then the value of m is

Correct answer

1.5

Step-by-step solution

x + 1 x = 2 ⇒ x = 1 … . [ x + 1 x ≥ 2 as equality occurs only when x = 1 ] ⇒ s i n - 1 x = π 2 Similarly, y = - 1 . . . . [ y + 1 y ≤ - 2 as equality occurs only when y = - 1 ] ⇒ c o s - 1 y = π s i n - 1 x + c o s - 1 y = π 2 + π = 3 π 2 ⇒ m = 3 2 = 1.5

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