Trigonometric Double and Half Angle Identities

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AP Calculus BC

Unit 2: Differentiation: Definition and Fundamental Properties

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10 Terms

1
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sin2x

2sinxcosx

2
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cos2x (sin & cos)

cos²x-sin²x

3
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cos2x (cos)

2cos²x-1

4
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cos2x (sin)

1-2sin²x

5
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tan2x

2tanx/(1-tan²x)

6
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cos(x/2)

±√(1+cosx)/2

7
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sin(x/2)

±√(1-cosx)/2

8
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tan(x/2) (cos sqrt)

±√(1-cosx)/(1+cosx)

9
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tan(x/2) (sin cos)

sinx/(1+cosx)

10
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tan(x/2) (cos sin)

(1-cosx)/sinx