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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
MCQ
What is the value of $ {\sin}^{-1}(\sin 160^{\circ})?$
  • A
    $160^{\circ}$
  • B
    $70^{\circ}$
  • C
    $-20^{\circ}$
  • ✓
    $20^{\circ}$
✓

Answer

Correct option: D.
$20^{\circ}$
sinsin of an angle is positive in first and second quadrants.
$\Rightarrow \sin ^{ -1 }{ (\sin { { 160 }^{ \circ } } } )$
$\Rightarrow(\sin ^{ -1 }{ (\sin { { (180-20) }^{ \circ } } })=20^\circ$

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