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### Simplify Numerator and Denominator

```
Date: 4/15/96 at 21:15:5
From: "Scott A. Mehring"
Subject: Derivatives of sines and cosines

What is the algebra, or actually the trig, that lets you go from

-sin x + 1
-----------
(1- sin x)^2

to
1
-----
1-sin x

You take one -sin x from the top out of the den, but how is it
done in a step-by-step process?

Thank you.
```

```

Date: 4/17/96 at 11:14:36
From: Doctor Sebastien
Subject: Re: Derivatives of sines and cosines

Hello,

Well, that's simply a question of looking at things from
another angle.

-sin x + 1
-------------
(1 - sin x)^2

1 - sin x
= -------------
(1 - sin x)^2

1
= -----------
(1 - sin x)

-Doctor Sebastien,  The Math Forum

```
Associated Topics:
High School Trigonometry

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