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Mathematics
Problem
Consider the curve
x
=
3
sin
t
x=3\sin t
x
=
3
sin
t
and
y
=
3
cos
t
y=3\cos t
y
=
3
cos
t
. What is the value of
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at
t
=
π
3
t=\dfrac{\pi}{3}
t
=
3
π
? a)
−
1
3
-\dfrac{1}{\sqrt{3}}
−
3
1
b)
−
3
-\sqrt{3}
−
3
c)
3
\sqrt{3}
3
d)
1
3
\dfrac{1}{\sqrt{3}}
3
1
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