Answer
$\sin \theta=\dfrac{15}{17}$
$\cos \theta=\dfrac{8}{17}$
$\tan \theta=\dfrac{15}{8}$
$\csc \theta=\dfrac{17}{15}$
$\sec \theta=\dfrac{17}{8}$
$\cot \theta=\dfrac{8}{15}$
Work Step by Step
The Trigonometric Identities can be defined as:
$\sin \theta=\dfrac{Opposite}{Hypotenuse}=\dfrac{15}{17}$
$\cos \theta=\dfrac{Adjacent}{Hypotenuse}=\dfrac{8}{17}$
$\tan \theta=\dfrac{Opposite}{Adjacent}=\dfrac{15}{8}$
$\csc \theta=\dfrac{Hypotenuse}{Opposite}=\dfrac{17}{15}$
$\sec \theta=\dfrac{Hypotenuse}{Adjacent}=\dfrac{17}{8}$
$\cot \theta=\dfrac{Adjacent}{Opposite}=\dfrac{8}{15}$
