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Answer
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$\dfrac { \sqrt{ 3 } } { 2 }$
Simplify the expression
$\cos\left( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 13 } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ \pi } \right)$
$ $ Arrange the terms multiplied by fractions $ $
$\cos\left( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 13 } \color{#FF6800}{ \pi } } { \color{#FF6800}{ 6 } } } \right)$
$\color{#FF6800}{ \cos\left( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 13 } \color{#FF6800}{ \pi } } { \color{#FF6800}{ 6 } } } \right) }$
$ $ Simplify $ $
$\color{#FF6800}{ \cos\left( \color{#FF6800}{ \dfrac { \color{#FF6800}{ \pi } } { \color{#FF6800}{ 6 } } } \right) }$
$\color{#FF6800}{ \cos\left( \color{#FF6800}{ \dfrac { \color{#FF6800}{ \pi } } { \color{#FF6800}{ 6 } } } \right) }$
$\cos(\dfrac{\pi}{6}) $ is $ \dfrac{\sqrt{3}{2}$
$\color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 2 } } }$
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