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

Question

For the principal value branch of the graph of the function y= sin -1x,-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

Tardigrade Admin · Accepted Answer

∴ The line y=1 is a tangent to the function.

Q. For the principal value branch of the graph of the function $y = sin^{- 1} x, - 1 \leq x \leq 1,$ which among the following is a true statement?

graph is symmetric about the $x -$ axis

graph is symmetric about the y-axis

graph is not continuous

the line $x = 1$ is a tangent

the line y = 1 is a tangent

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

Q. For the principal value branch of the graph of the function y=sin−1x,−1≤x≤1, which among the following is a true statement?

graph is symmetric about the x− axis