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Chapter 6
Trigonometric Identities and Conditional Equations
Section 6.1 deals with using basic identities to establish other identities.
There is a list of basic trig identities in a bluish box on page 474. Memorize these. You will need them at your fingertips for later work.
You will need to be able to use the basic identities to verify other (more complicated) identities. The only way to learn to do this is to PRACTICE doing a lot of them.
Sections 6.2, 6.3 and 6.4 deal with additional identities.
Memorize the identities listed in the bluish box on page 487.
Memorize the double-angle and half-angle identities.
Ask your prof if you will have to memorize the product-sum and sum-product identities.
How can identities be used to find exact values of trig functions?
Section 6.5 deals with solving trig equations.
How can you use algebra to solve a trig equation?
How can you write an expression for all solutions?
How can you use identities to solve a trig equation?
How can you sometimes use the quadratic formula to solve a trig equation?
How can you use a graph to solve a trig equation?