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Fill in the blank to complete the trigonometric formula.

$ \cos u - \cos v $ = ________

$-2 \sin \frac{u+v}{2} \sin \frac{u-v}{2}$

00:24

Amy J.

Precalculus

Algebra

Chapter 5

Analytic Trigonometry

Section 5

Multiple-Angle and Product-to-Sum Formulas

Trigonometry

Introduction to Trigonometry

McMaster University

Harvey Mudd College

Idaho State University

Lectures

01:32

In mathematics, the absolu…

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Fill in the blank to compl…

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Fill in the blank to …

So we want to look at what is the identity that takes co sign of you minus cosine of the And this is although it's a difference. It's listed as one of the some to product forms, and so if we think of it that way, we can see it's, ah, some or plus negative. It's a difference. You know, you're right down forms that this will equal negative two times the sign, interestingly enough, and it's a product. They're gonna be a product of two functions. Both will be sign, and we take u plus V over to so basically finding the average of the angles times the sign of U minus to be over to. And not that this question asked this. But remember that if you have this being a plus, it's not as simple as just saying, Oh, just change this to a plus. It becomes a totally different formula, but it's still going to be a product of two functions, but that becomes the product of the cosine of the same angle you plus B over to times the cosine of U minus v over to. So this is the one that with the question is asking about. So we're going from a difference to a product

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