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In a Fraunhofer diffraction experiment at a single slit using a light of wavelength \( 400 \mathrm{~nm} \), the first minimum is formed at an angle of \( 30^{\circ} \). The direction \( \theta \) of the first secondary maximum is given by
(a) \( \sin ^{-1}\left(\frac{2}{3}\right) \)
(b) \( \sin ^{-1}\left(\frac{3}{4}\right) \)
(c) \( \sin ^{-1}\left(\frac{1}{4}\right) \)
(d) \( \sin ^{-1}\left(\frac{2}{3}\right) \)
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