✓ 1 MARKS
MCQ
🔥 APPEARED IN 3 BOARD SETS
For the inverse trigonometric functions, which of the following Principal Value Branch is not correctly defined ?
A
$\tan^{-1} : \mathbb{R} \rightarrow \left( -\frac{\pi}{2}, \frac{\pi}{2} \right)$
B
$\sec^{-1} : \mathbb{R} - (-1, 1) \rightarrow [0, \pi] - \left\{ \frac{\pi}{2} \right\}$
C
$\cot^{-1} : \mathbb{R} \rightarrow (0, \pi)$
D
$\text{cosec}^{-1} : \mathbb{R} - (-1, 1) \rightarrow \left[ -\frac{\pi}{2}, \frac{\pi}{2} \right]$
01 // VERIFIED BOARD OCCURRENCES
| Year | Paper Code | Set | Position |
|---|---|---|---|
| CBSE 2026 | Series 65-5 | Set 1 | Question 3 |
| CBSE 2026 | Series 65-5 | Set 2 | Question 4 |
| CBSE 2026 | Series 65-5 | Set 3 | Question 5 |
02 // OFFICIAL CBSE MARKING SCHEME BREAKDOWN
- Step 1: Stating the fundamental formula / law statement (+1 Mark)
- Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
- Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)