## animalsavior94 4 years ago convert the rectangular equation to polar form. assume a is less than 0. x=10

1. amistre64

(10,0)

2. amistre64

oh, the equation, not the point lol

3. animalsavior94

yeah haha could you please show the work? thank you

4. amistre64

r cos(t) =10 r = 10/cos(t)

5. animalsavior94

where did u get t from?

6. amistre64

well, x = r cos(t) thats just by definition

7. amistre64

so, r cos(t) = 10 is a direct translation to polar form

8. animalsavior94

do you mean theta?

9. amistre64

i dont think I did the divide right tho

10. amistre64

yes; t = theta ... it really doesnt matter what you call it, it never comes when called

11. animalsavior94

ohh ok thanks i was just checking because i was confused. anyways so the answer is r=10/cos theta

12. amistre64

maybe, i cant remember if the divide by 0 applies to mess things up with

13. animalsavior94

im not sure either its quite confusing

14. amistre64

I know to get a straight line; which is what x=10 is; you keep the theta a constant... but id have to read up on it again

15. animalsavior94

i think tthe answer is right because some of my other answers ended with r=///// so it should be right hold on no the answer is r=10 sec theta

16. animalsavior94

how do you get secant?

17. amistre64

r = sec and 1/cos are the same thing

18. amistre64

$sec = \frac{1}{cos}$

19. amistre64

$\frac{10}{cos}=10 sec$

20. animalsavior94

i see thanks so much for your explanations

21. amistre64

youre welcome :)