Answer
$\sin{\theta} = \dfrac{8}{17}$
$\cos{\theta} =\dfrac{15}{17}$
$\tan{\theta}=\dfrac{8}{15}$
$\csc{\theta}=\dfrac{17}{8}$
$\sec{\theta} =\dfrac{17}{15}$
$\cot{\theta}=\dfrac{15}{8}$
Work Step by Step
Recall:
$$\sin{\theta} = \dfrac{\text{opposite}}{\text{hypotenuse}}$$
$$\cos{\theta} = \dfrac{\text{adjacent}}{\text{hypotenuse}}$$
$\sin{\theta} = \dfrac{\text{opposite}}{\text{hypotenuse}} = \dfrac{8}{17}$
$\cos{\theta} = \dfrac{\text{adjacent}}{\text{hypotenuse}} = \dfrac{15}{17}$
$\tan{\theta}= \dfrac{\sin{\theta}}{\cos{\theta}} = \dfrac{8}{15}$
$\csc{\theta}= \dfrac{1}{\sin{\theta}} = \dfrac{17}{8}$
$\sec{\theta} = \dfrac{1}{\cos{\theta}} = \dfrac{17}{15}$
$\cot{\theta}=\dfrac{1}{\tan{\theta}}= \dfrac{15}{8}$
