If \( \sqrt{3} \tan \theta=3 \sin \theta \), then the value of \( \sin ^{2} \theta-\cos ^{2} \th...

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If \( \sqrt{3} \tan \theta=3 \sin \theta \), then the value of \( \sin ^{2} \theta-\cos ^{2} \theta \)
a. \( \frac{1}{3} \)
b. \( \frac{2}{3} \)
c. \( \frac{3}{5} \)
d. \( \frac{2}{5} \)
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