Question

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

Answer 1

Answer:
`cot(x)`

Explanation:

Secant is defined as the inverse of sine. Mathematically:

`secant=(1)/(sine)`

Therefore, rewriting the intial equation, you get:

`sec(x)cos(x)=(cos(x))/(sin(x))`

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

`tangent=(sine)/(cosine)`

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

`(cos(x))/(sin(x))=cot(x)`