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
Create a free account to view solution
View Solution FreeMore Inverse Trigonometric Function Questions
The principal value of cos-1 + sin-1 is -...Domain of the explicit form of the function y represented implicity by the equation (1 + x) cosy - x2 = 0 is -...If tan-1 , x ∈ N, then the maximum value of x is -...Value of k for which the point (α, sin-1 α) (α > 0) lies inside the triangle formed by x + y = k with ...If tan-1x = sin-1 then x =...