Lesson 5.2
Verifying Trigonometric Identities
Tuesday, November 10, 2009
Goals: Verify trigonometric identities.
Instructional DVD's: Verify Trigonometric Identities 20:02 DVD 5
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Verifying a Trigonometric Identities
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Work with one side of the equation at a time. It is often better to work with the more complicated side first.
2.
Look for opportunities to factor an expression, add fractions, square a binomial, or create a monomial denominator.
3.
Look for opportunities to use the fundamental identities. Note which functions are in the final expression you want. Sines and cosines pair up well, as do secants and tangents, and cosecants and cotangents. 4.
If the preceding quidelines do not help, try converting all terms to sines and cosines.
5.
Always try something. Even making an attempt that leads to a dead end provides insight.
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Example 1
Verifying a Trigonometric Identity
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Example 2
Combining Fractions Before Using Identities
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Example 3
Verifying a Trigonometric Identity
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Example 4
Converting to Sines and Cosines
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Example 5
Verifying a Trigonometric Identity
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Example 6
Working with Each Side Separately
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Example 7
Examples from Calculus
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Date: Tuesday, November 10, 2009
Classwork:
Computer:
Homework: Lesson 5­2
Page 366­367 Problems 4, 24, 32, 36, 42, 48
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