Use the appropriate reciprocal identity to find the exact value of $$ \sec heta $$ for the given value of $$ \cos heta $$, $$ \cos heta=\frac{5}{9} $$ $$ \sec heta=\square $$ (Type an integer or a fraction.)

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Use the appropriate reciprocal identity to find the exact value of $$ \sec 	heta $$ for the given value of $$ \cos 	heta $$, $$ \cos 	heta=\frac{5}{9} $$ $$ \sec 	heta=\square $$ (Type an integer or a fraction.)

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To find the exact value of $$ \sec \theta $$ given $$ \cos \theta = \frac{5}{9} $$, we'll use the reciprocal identity:

$$
\sec \theta = \frac{1}{\cos \theta}
$$

Substituting the given value:

$$
\sec \theta = \frac{1}{\frac{5}{9}} = \frac{9}{5}
$$

**Answer:** $$ \sec \theta = \frac{9}{5} $$
$$ \sec \theta = \frac{9}{5} $$

Use the appropriate reciprocal identity to find the exact value of \( \sec \theta \) for the given value of \( \cos \theta \), \( \cos \theta=\frac{5}{9} \) \( \sec \theta=\square \) (Type an integer or a fraction.)

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