Match List - I with List - II.

Choose the correct answer from the options given below:

(A)-(IV), (B)-(I), (C)-(III), (D)-(II)

The correct answer is Option (2) - (A)-(IV), (B)-(I), (C)-(III), (D)-(II)

$(A)\;\text{Range of } y=cosec^{-1}x \rightarrow [0,\pi]-\left\{\frac{\pi}{2}\right\} \Rightarrow (II).$

$(B)\;\text{Domain of } \sec^{-1}x \rightarrow \mathbb{R}-(-1,1) \Rightarrow (I).$

$(C)\;\text{Domain of } \sin^{-1}x \rightarrow [-1,1] \Rightarrow (III).$

$(D)\;\text{Range of } y=\cot^{-1}x \rightarrow (0,\pi) \Rightarrow (II).$

$\text{Correct matching: }(A)\!-\!(IV),\;(B)\!-\!(I),\;(C)\!-\!(III),\;(D)\!-\!(II).$