Question

Is Sec the Inverse of Cos?

Answer 1

Explanation:

The $\mathbf{secant}\mathbf{}$is the reciprocal of the $\mathbf{cosine}$.

It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

The inverse of cos is not sec.

1. The secant is the inverse of the cosine function, a trigonometric function.
2. The Arcos function is the opposite of the cos function.
3. Reciprocals and inverses are not the same things. thus,

The reciprocal of $\cos \left(x\right)=\left(\frac{1}{\cos x}\right)=sec\left(x\right)$

The inverse of $\cos \left(x\right)={\cos }^{-1}\left(x\right)=arc\cos \left(x\right)$

Hence, $\mathbf{sec}$ is not the Inverse of $\mathbf{cos}$.