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2. inverse trigonometric function — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths2. inverse trigonometric function1 Mark
MCQ
$\sin (2{\sin ^{ - 1}}0.8) = $
  • ✓
    $0.96$
  • B
    $0.48$
  • C
    $0.64$
  • D
    None of these
✓

Answer

Correct option: A.
$0.96$
a
(a) $\sin (2{\sin ^{ - 1}}0.8) = \sin \left( {2{{\sin }^{ - 1}}\frac{4}{5}} \right)$
$ = \sin \left( {{{\sin }^{ - 1}}2.\frac{4}{5}.\sqrt {1 - \frac{{16}}{{25}}} } \right) = \frac{8}{5}.\frac{3}{5} = \frac{{24}}{{25}} = 0.96$.

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The correct option is

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