Multiple Angle Identities

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Pre-Calculus

Last updated 3:58 AM on 3/11/24
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12 Terms

1
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sin(A+B)

sinAcosB+cosAsinB

2
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sin(A - B)

sinAcosB-cosAsinB

3
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cos(A + B)

cosAcosB-sinAsinB

4
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cos(A - B)

cosAcosB+sinAsinB

5
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tan(A + B)

(tan A + tan B)/(1-tanAtanB)

6
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tan(A - B)

(tan A - tan B)/(1+tanAtanB)

7
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sin2x

2sinxcosx

8
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cos2x

cos²x-sin²x

1-2sin²x

2cos²x-1

9
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tan2x

(2tanx)/(1-tan²x)

10
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sin(x/2)

± rad((1-cosx)/2)

11
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cos(x/2)

± rad((1+cosx)/2)

12
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tan(x/2)

(1-cosx)/sinx

sinx/(1+cosx)

± rad((1-cosx)/(1+cosx))