AP Pre-Calc Trigonometric Formulas

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Last updated 5:41 AM on 8/26/26
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15 Terms

1
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sin(s+t)

sin(s)cos(t)+cos(s)sin(t)

2
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sin(s-t)

sin(s)cos(t)-cos(s)sin(t)

3
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cos(s+t)

cos(s)cos(t) - sin(s)sin(t)

4
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cos(s-t)

cos(s)cos(t) + sin(s)sin(t)

5
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tan(s+t)

(tans+tant)/(1-tanstant)

6
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tan(s-t)

tans-tant/1+tanstant

7
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sin2θ

2sinθcosθ

8
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cos2θ

cos²θ - sin²θ = 1 - 2sin²θ = 2cos²θ - 1

9
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tan2θ

2tanθ/1-tan²θ

10
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sin^2x

1 - cos2x / 2

11
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cos^2x

1 + cos2x / 2

12
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tan^2x

1 - cos 2x / 1 + cos2x

13
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sinθ/2

±√1 - cosθ/2

14
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cosθ/2

±√1 + cosθ/2

15
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tanθ/2

1 - cosθ / sinθ = sinθ / 1 + cosθ