Question

evaluate limit->0 1-secx / 1-cosx?

Answer 1

can i start with 1-1/cosx / 1-cosx?

Answer 2

yes that would be a good idea

Answer 3

\[\frac{1-\frac{1}{\cos(x)}}{1-\cos(x)} \cdot \frac{\cos(x)}{\cos(x)} =\frac{\cos(x)-1}{\cos(x)(1-\cos(x))}\]

Answer 4

what do you think is next

Answer 5

but then i dont know what to do next

Answer 6

cos(x)-1 is the opposite of 1-cos(x) right?

Answer 7

\[\frac{\cos(x)-1}{\cos(x)(-1)(\cos(x)-1)}\]

Answer 8

yes?

Answer 9

so recall a/a=1 assuming a does not =0

Answer 10

nice okay i got it = -1!!

Answer 11

ok great

Answer 12

yes that it is!

Answer 13

ok im probably going to post again soon if i get stuck with more of these hehe..