# DOMAIN AND RANGE OF INVERSE TRIGONOMETRIC FUNCTIONS WORKSHEET

Problem 1 :

Domain of the function sin-1 x is ....

Solution

Problem 2 :

Range of the function cos-1x is ....

Solution

Problem 3 :

The principal value of tan-1√3 is .....

Solution

Problem 4 :

Solution

Problem 5 :

Principal values of the function tan-1x lie in the interval....

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

For x ∈ R, tan-1(x2 + 1) + cot-1(x2 + 1) is equal to ....

Solution

Problem 11 :

If cos-1(-x) = α - cos-1x, then the value of α is ....

Solution

Problem 12 :

Solution

1)  domain of the function is [-1, 1].

2)  Range of the function cos-1x is [0, π].

3) principal value of tan-1(√3) is π/3.

4)  tan-1x is (-π/2, π/2)

5)   tan-1x is (-π/2, π/2).

6)  3𝜋/4

7)  2𝜋/3

8)  2𝜋/3

9)  ∅ is the answer.

10)

11)  α = π

12)

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