Inverse Trigonometric Functions — Class 12 Maths Solution

exemplar objective MCQ NCERT,Ex.2.3,Q.24,Page.38
Question

The domain of the function ${\cos ^{ - 1}}(2x - 1)$ is

  • (a) [0,1] ✓ Correct
  • (b) [-1,1]
  • (c) (-1,1)
  • (d) $[0,\pi ]$
Step-by-step Solution
Correct answer: option (a)

We have, $f(x) = {\cos ^{ - 1}}(2x - 1)$
$therefore, - 1 \le 2x - 1 \le 1$

$\Rightarrow$ $0 \le 2x \le 2$

$\Rightarrow$ $0 \le x \le 1$

$therefore, x \in [0,1]$

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Inverse Trigonometric Functions. Curated by Sachin Sharma. Free for all students.