Question

sec x * cos x =
How do I solve this:/

Answer 1

Answer: $cot(x)$

Step-by-step explanation:

Secant is defined as the inverse of sine. Mathematically:

$secant=\frac{1}{sine}$

Therefore, rewriting the intial equation, you get:

$sec(x)cos(x)=\frac{cos(x)}{sin(x)}$

This might seem random, but you should know that tangent is defined as:

$tangent=\frac{sine}{cosine}$

Our answer is the inverse of tangent. The inverse of tangent is the definition of cotangent:

$\frac{cos(x)}{sin(x)}=cot(x)$