Answer
See below
Work Step by Step
The Trigonometric Identities can be defined as:
$\sin \theta=\dfrac{Opposite}{Hypotenuse}=\dfrac{2}{2\sqrt 17}
=\dfrac{\sqrt 17}{17}$
$\cos \theta=\dfrac{Adjacent}{Hypotenuse}=\dfrac{8}{2\sqrt 17}
=\dfrac{4\sqrt 17}{17}$
$\tan \theta=\dfrac{Opposite}{Adjacent}=\dfrac{2}{8}=\dfrac{1}{4}$
$\csc \theta=\dfrac{Hypotenuse}{Opposite}=\dfrac{2\sqrt 17}{2}=\sqrt 17$
$\sec \theta=\dfrac{Hypotenuse}{Adjacent}=\dfrac{2\sqrt 17}{8}=\dfrac{\sqrt 17}{4}$
$\cot \theta=\dfrac{Adjacent}{Opposite}=\dfrac{8}{2}=4$
