1. 5.1 Using Fundamental Identities
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2. Fundamental Trig Identities
Trig identities can be used to:
Evaluate Trigonometric Functions
Simplify Trigonometric Expressions
Develop Additional Trigonometric Identities
Solve Trigonometric Equations
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3. Fundamental Identities
Reciprocal Identities: Quotient Identities:
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4. Pythagorean Identities
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5. Fundamental Identities
Cofunction Identities: Even/Odd Identities:
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6. Simplifying
Sometimes it’s easier to write everything in terms of sine and cosine:
Simplify:
Write as sin/cos
Mulitply
Add
Simplify
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7. Simplifying
Simplify:
Factor
Substitute
Multiply
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8. Factoring Treat the whole trig function like a variable: Factor:
Substitute
Simplify
Factor
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9. Rewriting Expressions
Rewrite the following so that it is not in fractional form:
Multiply by conjugate
Substitute
Separate
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10. References Special Thanks to: Nauset Schools
ausethonorsprecalc/lesson-plans/chapter-5--- analytic-trigonometry
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