Answer:
see explanation
Step-by-step explanation:
To find cscθ we require to find the third side of the triangle.
let 3rd side be x and using Pythagoras' identity
x² + 8² = 9²
x² + 64 = 81 ( subtract 64 from both sides )
x² = 17 ( take square root of both sides )
x = [tex]\sqrt{17}[/tex]
Then
cosθ = [tex]\frac{adjacent }{hypotenuse}[/tex] = [tex]\frac{8}{9}[/tex]
cscθ = [tex]\frac{hypotenuse}{opposite}[/tex] = [tex]\frac{9}{\sqrt{17} }[/tex]
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{\sqrt{17} }{8}[/tex]