Question

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find the six trigonometric function values of the specified angle.
cos θ = 5√74 / 74 (simplify your answer, including any radicals. use integers or fractions for any numbers in the expression.)
tan θ = (simplify your answer, including any radicals. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall trigonometric - ratio definitions

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify opposite and adjacent sides

Given the side opposite to $\theta$ is 5 and the side adjacent to $\theta$ is 12.

Answer:

$\frac{5}{12}$