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MODEL PAPER 4 (BASIC) — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsMODEL PAPER 4 (BASIC)1 Mark
MCQ
If $2 \sin 2 \theta=\sqrt{3}$ then $\theta= ?$
  • A
    $45^{\circ}$
  • B
    $90^{\circ}$
  • C
    $60^{\circ}$
  • ✓
    $30^{\circ}$
✓

Answer

Correct option: D.
$30^{\circ}$
We have, $2 \sin 2 \theta=\sqrt{3} $
$\Rightarrow \sin 2 \theta=\frac{\sqrt{3}}{2}=\sin 60^{\circ}$
$\Rightarrow 2 \theta=60^{\circ}$
$\Rightarrow \theta=30^{\circ}$

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