Inverse Trigonometric FunctionHard
Question
Value of k for which the point (α, sin-1 α) (α > 0) lies inside the triangle formed by x + y = k with co-ordinate axes is -
Options
A.
B.
C.
D.(-1 -sin1, 1 + sin 1)
Solution
∵ α > 0 ⇒ (α, sin-1α) lies in 1st quadrant
⇒ k > 0
Also the extreme point on the graph of y = sin-1x is
⇒ 1 +
- k < 0 ⇒ k > 1 + 
⇒ k ∈
⇒ k > 0
Also the extreme point on the graph of y = sin-1x is
⇒ 1 +
- k < 0 ⇒ k > 1 + ⇒ k ∈
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