Trigonometric Identities Flashcards

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Flashcards for trigonometric sum and difference identities and double angle identities.

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8 Terms

1
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Sum and Difference Identity for Sine (Addition)

sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

2
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Sum and Difference Identity for Sine (Subtraction)

sin(a-b) = sin(a)cos(b) - cos(a)sin(b)

3
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Sum and Difference Identity for Cosine (Addition)

cos(a+b) = cos(a)cos(b) - sin(a)sin(b)

4
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Sum and Difference Identity for Cosine (Subtraction)

cos(a-b) = cos(a)cos(b) + sin(a)sin(b)

5
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Double Angle Identity for Sine

sin(2a) = 2sin(a)cos(a)

6
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Double Angle Identity for Cosine (Form 1)

cos(2a) = cos²(a) - sin²(a)

7
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Double Angle Identity for Cosine (Form 2)

cos(2a) = 2cos²(a) - 1

8
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Double Angle Identity for Cosine (Form 3)

cos(2a) = 1 - 2sin²(a)