If \( \int_{\pi / 3}^{x} \sqrt{\left(3-\sin ^{2} t\right)} d t+\int_{0}^{y} \cos t d t=0 \) then...
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0If \( \int_{\pi / 3}^{x} \sqrt{\left(3-\sin ^{2} t\right)} d t+\int_{0}^{y} \cos t d t=0 \) then \( \frac{d y}{d x} \) is
(A) \( \frac{\sqrt{\left(3-\sin ^{2} x\right)}}{\cos y} \)
(B) \( -\frac{\sqrt{\left(3-\cos ^{2} x\right)}}{\sin y} \)
(C) \( -\frac{\sqrt{\left(3-\sin ^{2} x\right)}}{\cos y} \)
(D) None of these
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