QuestionSolve for $x$ in the equation $a \sec x = 3$.

Studdy Solution
Now, we need to find the value of $x$ such that $\cos x = \frac{a}{3}$. We use the inverse cosine function, $\cos^{-1}$, to do this.
$$x = \cos^{-1}\left(\frac{a}{3}\right)$$This is the general solution for $x$. However, it's important to note that the solution for $x$ depends on the value of $a$ and the domain of the cosine function. The cosine function is defined for all real numbers, but its range is $-1 \leq \cos x \leq1$. Therefore, for a real solution to exist, $-3 \leq a \leq3$.