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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
MCQ
The domain of function $f(x)=\sin ^{-1} x+\cos x$ is-
  • ✓
    $[-1,1]$
  • B
    $[-1, \pi+1]$
  • C
    $[-\infty, \infty]$
  • D
    $\phi$
✓

Answer

Correct option: A.
$[-1,1]$
(A)
$[-1,1]$
Function $\sin ^{-1} x$ has domain $D _1=[-1,1]$ and function $\cos x$ has domain $D _2= R$
$\therefore$ Domain of $f(x)=\sin ^{-1} x+\cos x$ is $= D _1 \cap D _2=$ $[-1,1] \cap R =[-1,1]$
Hence correct option is (A).

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