1. Verifying Fundamental Identities
Skill 32

2. Verifying Trigonometric Identities
The key to verifying identities and solving equations is the ability to use the fundamental identities and algebra to rewrite trigonometric expressions.
An equation that is true for all real values in the domain of the variable is an identity.

3. Verifying Trigonometric Identities
1) One side at a time
2) Look to…
factor, add fractions, square binomials, monomial denominators
3) Look to…
use identities
4) Try converting to sines and cosines
5) TRY SOMETHING…
Something is better than nothing!

4. Example–Verifying a Trigonometric Identity
Left side is more complicated (start there)
Pythagorean Identity
Simplify.
Reciprocal identity
Quotient identity
Simplify.

5. Example–Verifying a Trigonometric Identity
Add Fractions
Simplify.
Pythagorean Identity
Reciprocal Identity

6. Example–Verifying a Trigonometric Identity
Quotient Identities
Add Fractions
Pythagorean Identity
Simplify
Reciprocal Identity

7. Example–Verifying a Trigonometric Identity

8. Example–Verifying a Trigonometric Identity

9. Example–Verifying a Trigonometric Identity

10. Example–Verifying a Trigonometric Identity

11. 32 Verifying Fundamental Identities
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