Question
If $c$ is any number such that $-1<c<1,$ then how many solutions does the equation $c=$ sec $x$ have over the entire domain of the secant function?
Step 1
The secant function, sec $x$, is defined as $1/\cos x$. The range of the cosine function is $-1 \leq \cos x \leq 1$. Therefore, the range of the secant function is $(-\infty, -1] \cup [1, \infty)$. Show more…
Show all steps
Your feedback will help us improve your experience
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Work each problem. If $c$ is any number such that $-1<c<1$, then how many solutions does the equation $c=\sec x$ have over the entire domain of the secant function?
Graphs of the Circular Functions
Graphs of the Secant and Cosecant Functions
Work each problem. Concept Check If $c$ is any number such that $-1<c<1,$ then how many solutions does the equation $c=$ sec $x$ have over the entire domain of the secant function?
The Circular Functions and Their Graphs
If $c$ is any number, then how many solutions does the equation $c=\tan x$ have in the interval $(-2 \pi, 2 \pi] ?$
Graphs of the Tangent and Cotangent Functions
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD