Answer:
Cosx is the answer.
Step-by-step explanation:
We have to simplify the trigonometric fraction given in this question.
[tex]\frac{\text{Cotx}}{\text{Cscx}}[/tex]
Further we can rewrite this ratio in the simplified form.
Since, Cot x = [tex]\frac{\text{Cosx}}{\text{Sinx}}[/tex] and Cosec(x) = [tex]\frac{1}{\text{Sinx}}[/tex]
Now substitute these simplified forms of Cotx and Cscx in the given fraction.
[tex]\frac{\text{Cotx}}{\text{Cscx}}[/tex] = [tex]\frac{\frac{\text{Cosx}}{\text{Sinx}}}{\frac{1}{\text{Sinx}}}[/tex]
= [tex]\frac{\text{Cosx}}{\text{Sinx}}\times \text{Sinx}[/tex]
= Cosx
Therefore, Cosx will be the answer.
