April 2019
Beginner
368 pages
9h 38m
English
Content preview from Pre-Calculus Workbook For Dummies, 3rd Edition
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Chapter 9
Advanced Trig Identities
IN THIS CHAPTER
Using sum and difference identities
Exploring double- and half-angle identities
Tapping product-to-sum and sum-to-product identities
Solving with power-reducing formulas
Okay … it keeps getting better and better. Now you get to use some even more exciting trigonometry — advanced identities, that is. This chapter builds on the basic identities you practice in Chapter 8.
In this chapter, you are given formulas that are essential for calculating precise values of trig functions at certain angles that you can’t get any other way (even your calculator only gives approximate answers). These identities are essential for calculus, so it’s time to get friendly with advanced identities.
Simplifying with Sum and Difference Identities
Again, you see where mathematicians were able to take simple concepts (addition and subtraction) and relate them to a more complex one (trigonometric angles). These sum and difference identities allow you to write an angle that’s not from the special triangles of 45-45-90 or 30-60-90 (see Chapter 6) as the sum ...
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