Find the exact slope of the tangent line to the parametric curve
{
x
=
6
cos
(
t
)
y
=
7
sin
(
t
)
\displaystyle {\left\lbrace\begin{array}{c} {x}={6}{\cos{{\left({t}\right)}}}\\{y}={7}{\sin{{\left({t}\right)}}}\end{array}\right.}
{
x
=
6
cos
(
t
)
y
=
7
sin
(
t
)
at the point where
t
=
π
3
\displaystyle {t}=\frac{\pi}{{3}}
t
=
3
π
.
Give an exact answer,
do not use a decimal.
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