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Trigonometric Identities — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTrigonometric Identities1 Mark
MCQ
If $2\sin2\theta=\sqrt3$ then $\theta=?$
  • ✓
    $30^\circ$
  • B
    $45^\circ$
  • C
    $60^\circ$
  • D
    $90^\circ$
✓

Answer

Correct option: A.
$30^\circ$
$2\cos2\theta=\sqrt3$
$\Rightarrow\sin2\theta=\frac{\sqrt3}{2}$
$\Rightarrow\sin2\theta=\sin60^\circ$
$\Rightarrow2\theta=60^\circ$
$\Rightarrow\theta=30^\circ$

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