question_answer

For the principal value branch of the graph of the function\[y={{\sin }^{-1}}x,-1\le x\le 1,\]which among the following is a true statement?

A)  graph is symmetric about the\[x-\]axis

B)  graph is symmetric about the y-axis

C)  graph is not continuous

D)  the line\[x=1\]is a tangent

E)  the line y = 1 is a tangent

Correct Answer: D

Solution :

\[\therefore \]The line\[y=1\]is a tangent to the function.