Principal Value Branches
| Function | Domain | Principal Value Branch (Range) |
|---|---|---|
| $y = \sin^{-1} x$ | $[-1, 1]$ | $[-\frac{\pi}{2}, \frac{\pi}{2}]$ |
| $y = \cos^{-1} x$ | $[-1, 1]$ | $[0, \pi]$ |
| $y = \tan^{-1} x$ | $\mathbb{R}$ | $(-\frac{\pi}{2}, \frac{\pi}{2})$ |
High-yield revision notes, key concepts, formulas, and CBSE board examination questions for Class 12 Mathematics.
| Function | Domain | Principal Value Branch (Range) |
|---|---|---|
| $y = \sin^{-1} x$ | $[-1, 1]$ | $[-\frac{\pi}{2}, \frac{\pi}{2}]$ |
| $y = \cos^{-1} x$ | $[-1, 1]$ | $[0, \pi]$ |
| $y = \tan^{-1} x$ | $\mathbb{R}$ | $(-\frac{\pi}{2}, \frac{\pi}{2})$ |
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