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7.6 Exploration: Trig Identities Honors Analysis Learning Target: I can develop trigonometric identities.

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Presentation on theme: "7.6 Exploration: Trig Identities Honors Analysis Learning Target: I can develop trigonometric identities."— Presentation transcript:

1 7.6 Exploration: Trig Identities Honors Analysis Learning Target: I can develop trigonometric identities

2 Identity #1:

3 Identity #2:

4  Use the triangle below to prove the identity shown above. Hint: How can the hypotenuse be labeled using a and b?

5 Deriving the Pythagorean Identities:

6 Trig Identities Summary:

7 Simplify:

8 Strategies for simplifying trigonometric expressions  Write trig functions in term of sin/cos/tan  Look for Pythagorean identities (may need to factor out GCF to find)  Fractions: Find a common denominator & combine  Fractions: Break up a sum/difference in the numerator as two fractions with the same denominator


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