Question

The graph of a trigonometric function is as shown. Which of the following will represent the graph of its inverse?

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

To find the graph of the inverse of a function, reflect the original graph over the line \( y = x \).

Answer 1

The Correct Option is B

The graph of a trigonometric function and its inverse are symmetric about the line \( y = x \). - The given graph represents a trigonometric function like \( \sin(x) \) or \( \cos(x) \), which is defined within the interval \( \left[ -\frac{\pi}{2}, \frac{\pi}{2} \right] \). - The graph of its inverse, such as \( \sin^{-1}(x) \), will be reflected across the line \( y = x \). Thus, the graph that corresponds to the inverse function is option .