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kondaur [170]
3 years ago
7

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

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

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

<span>- sec x = - sec x

PROVEN!</span>

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