Answer: [tex]cot(x)[/tex]
Step-by-step explanation:
Secant is defined as the inverse of sine. Mathematically:
[tex]secant=\frac{1}{sine}[/tex]
Therefore, rewriting the intial equation, you get:
[tex]sec(x)cos(x)=\frac{cos(x)}{sin(x)}[/tex]
This might seem random, but you should know that tangent is defined as:
[tex]tangent=\frac{sine}{cosine}[/tex]
Our answer is the inverse of tangent. The inverse of tangent is the definition of cotangent:
[tex]\frac{cos(x)}{sin(x)}=cot(x)[/tex]
