Question:
The following graph is a combination of:
The following graph is a combination of:
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Inverse trigonometric functions have restricted domains and ranges. The graphs of these functions often appear different from their trigonometric counterparts.
Updated On: Feb 25, 2026
- $y = \sin^{-1} x$ and $y = \cos^{-1} x$
- $y = \cos^{-1} x$ and $y = \cos x$
- $y = \sin^{-1} x$ and $y = \sin x$
- $y = \cos^{-1} x$ and $y = \sin x$
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The Correct Option is C
Solution and Explanation
The given graph shows a combination of inverse trigonometric and trigonometric functions.
The function $y = \sin^{-1} x$ is the inverse sine function, which has a restricted domain and range between $[-\frac{\pi}{2}, \frac{\pi}{2}]$ and $[-1, 1]$, respectively. The graph of $y = \sin^{-1} x$ appears as an increasing curve.
The function $y = \sin x$ is the standard sine function, which oscillates between $-1$ and $1$, and has a period of $2\pi$.
The graph shown matches the properties of $y = \sin^{-1} x$ and $y = \sin x$. Therefore, the correct answer is (3).
The function $y = \sin^{-1} x$ is the inverse sine function, which has a restricted domain and range between $[-\frac{\pi}{2}, \frac{\pi}{2}]$ and $[-1, 1]$, respectively. The graph of $y = \sin^{-1} x$ appears as an increasing curve.
The function $y = \sin x$ is the standard sine function, which oscillates between $-1$ and $1$, and has a period of $2\pi$.
The graph shown matches the properties of $y = \sin^{-1} x$ and $y = \sin x$. Therefore, the correct answer is (3).
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