If \(x=a\cos^3t\) and \(y=a\sin^3t\), then \(\frac{dy}{dx}=\)
A. \(-\tan t\)
B. \(-\cot t\)
C. \(\tan t\)
D. \(\cot t\)
A. \(-\tan t\)
B. \(-\cot t\)
C. \(\tan t\)
D. \(\cot t\)
Best answer
Answer: A. \(-\tan t\)
\(\frac{dy}{dx}=\frac{3a\sin^2t\cos t}{-3a\cos^2t\sin t}=-\tan t\).
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