hba 2 years ago Find the domain and range of the following functions: (a)y=secx

1. uri

K.

2. yaho021

$x \neq \frac{ \Pi }{ 2 }, \frac{ 3\Pi }{ 2 }, \frac{ 5\Pi }{ 2 }, . . . . . . .$ $range : y \ge 1 and y \le -1$

3. hba

Ahm @yaho021 Domain=R-{x=n(pi/2)} Where pi=1,3,5........ Couldn't get the range thing :/

4. hba

How do we determine the range ?

5. ParthKohli

$\sec(x) = \dfrac{1}{\cos(x)}$The range of values is $$(\infty , -\infty)$$.

6. ParthKohli

I may be wrong... let's see

7. hba

Everyone is confusing me :/

8. ParthKohli

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 $$-\infty$$.

9. ParthKohli

So the range is all real numbers.

10. hba

Okay someone said it would be All real numbers-(-1,1)

11. ParthKohli

That's the range of $$\cos(x)$$, not $$\sec(x)$$

12. ParthKohli

Think about the range of $$\dfrac{1}{x}$$. Whenever $$x$$ is near zero, $$\dfrac{1}{x}$$ is near infinity.

13. ParthKohli

$\dfrac{1}{0.0000001} = 1000000$

14. hba

@Mimi_x3 lol so true :p

15. ParthKohli

YAY! I was right! I thought I'd make a fool of myself