AP Precal 3.8-3.12 Review

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13 Terms

1
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cos(α+β)

cos(α)cos(β) - sin(α)sin(β)

2
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sin(α+β)

sin(α)cos(β) + cos(α)sin(β)

3
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cos(α-β)

cos(α)cos(β) + sin(α)sin(β)

4
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sin(α-β)

sin(α)cos(β) - cos(α)sin(β)

5
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sin(2α)

2sin(α)cos(α)

6
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cos(2α)

cos²(α) - sin²(α)

7
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Is sin(θ) even or odd?

Odd; Symmetric about the origin

8
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Is cos(θ) even or odd?

Even; Symmetric about y-axis

9
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Pythagorean Identity

cos²(θ) + sin²(θ) = 1

10
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tan²(θ) + 1

sec²(θ)

11
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cot²(θ) + 1

csc²(θ)

12
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cos⁻¹(x)

sin⁻¹(√(1-x²))

13
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sin⁻¹(x)

cos⁻¹(√(1-x²))