Question
Which of the following is the principal value branch of ${\cos ^{ - 1}}x$ ?
- (a) $\left[ { - \frac{\pi }{2},\frac{\pi }{2}} \right]$
- (b) $(0,\pi )$
- (c) $[0,\pi ]$ ✓ Correct
- (d) $(0,\pi ) - \left\{ {\frac{\pi }{2}} \right\}$
Inverse Trigonometric Functions — Class 12 Maths Solution
Step-by-step Solution
We know that, the principal value branch of ${\cos ^{ - 1}}x$ is $[0,\pi ]$.
$therefore,$ $y = {\cos ^{ - 1}}x$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Inverse Trigonometric Functions. Curated by Sachin Sharma. Free for all students.