# Multiple choice (Inverse Trigonometry)

choose the correct option in the following question:(class 12 inverse trigonometric functions multiple choice)

Question 1: The value of  corresponding to principal branches is

(a) -π/12                         (b) 0

(c) π                                 (d) π/3

Explanation:

Question 2: The value of is

(a)            (b)

(c) 1/x                                                  (d)

Explanation:

Let

Since,

Question 3: The value of is

(a) π/9                       (b) 5π/9

(c) -5π/9                    (d)  7π/18

Explanation:

Question 4: Let , Then value of θ is

(a) π/3                        (b) π/2

(c) 2π/3                       (d) – 2π/3

Explanation:

Question 5: The principal value of is

(a) 2π/5                    (b) -2π/5

(c) 3π/5                    (d) -3π/5

Explanation:

{since }

= –

= –2π/5

Question 6: is equal to:

(a) 1/2                (b) 1/3

(c) -1                   (d) 1

Explanation:

= sin[π/3 – (-π/6)]

= sin(π/3 + π/6)

= sin (π/2)

= 1

Question 7: The domain of is

(a) [0, 1]                         (b) [– 1, 1]

(c) [-1/2, 1/2]                (d) [–2, 2]