(1-sec x)/(1-cos x) = -sec x
i got up to this:
(cos x - 1)/ (cos x(1 - cos x)

can you me verify the following identity?

We are given the trigonometric equation:

(1 - sec x) / (1 - cos x) = - sec x

Since the left side has more terms, then let us work on that side to make it exactly like the right side.

We know that sec = 1 / cos, therefore:

(1 – 1 / cos x) / (1 – cos x) = - sec x

[(cos x – 1) / cos x] / (1 – cos x) = - sec x

[- (1 – cos x) / cos x] / (1 – cos x) = - sec x

Cancelling out the term (1 – cos x):

- 1 / cos x = - sec x

- sec x = - sec x

PROVEN!

good luck!

cutie~