General trig identities

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16 Terms

1
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cos2x + sin2x

1

2
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a2 (cosine rule)

b2 + c2 - 2 b c cosA

3
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cosA (cosine rule)

(b2 + c2 - a2)/2bc

4
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Sine rule

a/sinA = b/sinB

(same for reciprocals)

5
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Area of triangle using sin

½ a b sinC

6
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sec(x)

1/cos(x)

7
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cosec(x)

1/sin(x)

8
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cot(x)

1/tan(x)

9
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cosec2(x)

1 + cot2(x)

10
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sec2(x)

1 + tan2(x)

11
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sin(A±B)

sinAcosB ± cosAsinB

12
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cos(A±B)

cosAcosB ∓ sinAsinB

13
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tan(A±B)

tanA ± tanB / 1 ∓ tanAtanB

14
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sin(2x)

2sin(x)cos(x)

15
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cos(2x)

cos2(x) - sin2(x)

2cos2(x) -1

1 - 2sin2(x)

16
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tan(2x)

2tan(x) / 1 - tan2(x)