Answer:
see below
Step-by-step explanation:
Find the missing leg:
[tex]a^2+b^2=c^2\\
a^2+8^2=17^2\\
a^2=225\\
a=15[/tex]
Use SOHCAHTOA where O = side opposite to the angle, A = side adjacent to the angle, H = hypotenuse.
Therefore, for this triangle, O = 15, A = 8 and H = 17
[tex]cos \theta=\frac{A}{H} =\frac{8}{17} [/tex]
[tex]sec \theta=\frac{1}{cos \theta} =1[/tex] ÷ [tex]\frac{8}{17} =\frac{17}{8} [/tex]
[tex]cot \theta=\frac{1}{tan \theta} =1[/tex] ÷[tex]\frac{O}{A} =\frac{A}{O} =\frac{8}{15} [/tex]
