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  • hba

Find the domain and range of the following functions: (a)y=secx

Mathematics
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  • uri
K.
\[x \neq \frac{ \Pi }{ 2 }, \frac{ 3\Pi }{ 2 }, \frac{ 5\Pi }{ 2 }, . . . . . . .\] \[range : y \ge 1 and y \le -1\]
  • hba
Ahm @yaho021 Domain=R-{x=n(pi/2)} Where pi=1,3,5........ Couldn't get the range thing :/

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Other answers:

  • hba
How do we determine the range ?
\[\sec(x) = \dfrac{1}{\cos(x)}\]The range of values is \((\infty , -\infty)\).
I may be wrong... let's see
  • hba
Everyone is confusing me :/
No, I meant when \(\cos(x)\) tends to \(0\) from the right side, then \(\sec(x) \) goes towards \(\infty\). And when it tends to \(0\) from the left, then \(\sec(x)\) goes towards \( -\infty\).
So the range is all real numbers.
  • hba
Okay someone said it would be All real numbers-(-1,1)
That's the range of \(\cos(x)\), not \(\sec(x)\)
Think about the range of \(\dfrac{1}{x}\). Whenever \(x\) is near zero, \(\dfrac{1}{x}\) is near infinity.
\[\dfrac{1}{0.0000001} = 1000000\]
  • hba
@Mimi_x3 lol so true :p
YAY! I was right! I thought I'd make a fool of myself

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