Question

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

Answer 1

Answer: (D)

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