1.)
A.) tan 50°
B.) cot 50°
C.) sin 50°
D.) cos 50°
E.) cot 50°

Answer:
[tex]\cot 50 \textdegree[/tex]
Step-by-step explanation:
[tex]\cos\theta=\frac{Adjacent}{Hypotenuse}\\ \\\sin\theta=\frac{Opposite}{hypotenuse}\\ \\\tan\theta=\frac{Opposite}{Adjacent}\\ \\\cot\theta=\frac{Adjacent}{Opposite}\\ \\\frac{\cos\theta}{\sin\theta}=\frac{\left(\frac{Adjacent}{Hypotenuse}\right)}{\left(\frac{Opposite}{Hypotenuse}\right)}=\frac{Adjacent}{Opposite}=\cot\theta\\ \\\Rightarrow \frac{\cos\theta}{\sin\theta}=\cot\theta\\ \\Substitute \ \theta=50\textdegree\\ \\\frac{\cos50\textdegree}{\sin50\textdegree}=\cot50\textdegree[/tex]