Inverse Trigonometric FunctionHard
Question
Solution set of the inequality sin-1 
≤ π - 
is -
≤ π - is -Options
A.(- ∞, 1) ∪ (1, ∞)
B.[-1, 1]
C.(-1 , 1)
D.(- ∞, -1] ∪ [1, ∞)
Solution
Let y = 
= 2 +
⇒ 2 < y ≤ 3
Now sin-1siny ≤ π -
⇒ π - ≤ π - 
⇒ y ≥
⇒ 
Now it can be solved
= 2 +⇒ 2 < y ≤ 3
Now sin-1siny ≤ π -
⇒ π - ≤ π - ⇒ y ≥
⇒ Now it can be solved
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