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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
MCQ
The domain of $\cos ^{-1}(2 x-1)$
  • ✓
    $[0,1]$
  • B
    $[-1,1)$
  • C
    $(-1,1]$
  • D
    $[0, \pi]$
✓

Answer

Correct option: A.
$[0,1]$
$\cos ^{-1}(2 x-1)$ will be defined if $-1 \leq 2 x-1 \leq 1$
$\Rightarrow 0 \leq 2 x \leq 2$
$\Rightarrow 0 \leq x \leq 1$
$\Rightarrow x \in[0,1]$
Hence domain of $\cos ^{-1}(2 x-1)[0,1]$
Hence correct option is $(A)$

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