Answer:
cscΘ = - [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Using the trigonometric identities
tan x = [tex]\frac{sinx}{cosx}[/tex] and csc x = [tex]\frac{1}{sinx}[/tex]
sinΘ = tanΘ × cosΘ
= [tex]\frac{3}{4}[/tex] × - [tex]\frac{4}{5}[/tex] = - [tex]\frac{3}{5}[/tex]
Hence
cscΘ = [tex]\frac{1}{\frac{-3}{5} }[/tex] = - [tex]\frac{5}{3}[/tex]
