Chapter 5 Analytic Trigonometry

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Precalc 5.1 Notes Filled Out.notebook
Chapter 5 Analytic Trigonometry
The main goals of this chapter are to be able to • verify identities, • simplify trig. expressions, • solve trig. equations.
Precalc 5.1 Notes Filled Out.notebook
These are some of the basic trig identities that you should know.
Precalc 5.1 Notes Filled Out.notebook
Example
Use the given values to find the values of all six trig functions.
Precalc 5.1 Notes Filled Out.notebook
Things to look for when simplifying trig. expressions
• identities to substitute
• common factors
• algebraic factoring (quadratic, difference of squares, ...
Precalc 5.1 Notes Filled Out.notebook
Example
Simplify
Precalc 5.1 Notes Filled Out.notebook
Example
Verify the identity.
Precalc 5.1 Notes Filled Out.notebook
Example
Factor
Precalc 5.1 Notes Filled Out.notebook
Example
Simplify
Precalc 5.1 Notes Filled Out.notebook
Example
Use the substitution
as a trig function of ,
, to write
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