# Sin θ = 9/15.
# Cos θ = 12/15.
# Cosec θ = 15/9.
# Sec θ = 5/4
Step-by-step explanation:
[tex]by \: using \: pythagorian \: triplets[/tex]
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {9}^{2} + {12}^{2} = {c}^{2} [/tex]
[tex]81 + 144 = {c}^{2} [/tex]
[tex]225 = {c}^{2} [/tex]
[tex]c = 15.[/tex]
[tex] \sin θ = \frac{9}{15} [/tex]
[tex] \cos θ = \frac{12}{15} = \frac{4}{5} [/tex]
[tex] \csc θ = \frac{15}{9} [/tex]
[tex] \secθ = \frac{5}{4} [/tex]
