Maths - Chapter 3, Trigonometric Functions

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24 Terms

1
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sin (x+y)

sin x cos y + cos x sin y

2
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sin (x - y)

sin x cos y - cos x sin y

3
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cos (x+y)

cos x cos y - sin x sin y

4
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cos (x-y)

cos x cos y + sin x sin y

5
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tan (x+y)

tanx + tany / 1 - tanx tany

6
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tan (x-y)

tanx - tany / 1 + tanx tany

7
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cot (x+y)

cot x cot y - 1 / cot y + cot x

8
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cot (x-y)

cot x cot y + 1 / cot y - cot x

9
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sin 2x

  • (2 tan x) / (1 + tan2 x)

  • 2sin x cos x

10
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cos 2x

  • (1 - tan2 x) / (1 + tan2 x)

  • cos2 x - sin2 x

  • 2 cos2x - 1

  • 1 - 2 sin2 x

11
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tan 2x

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

12
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cot 2x

(1 - cot2 x) / (2cot x)

13
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sin 3x

3 sin x - 4 sin3 x

14
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cos 3x

4 cos3 x - 3 cos x

15
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tan 3x

(3 tan x - tan3 x) / ( 1 - 3 tan2 x)

16
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cot 3x

( 1-3 cot2 x) / (3 cot x - cot3 x)

17
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sin C + sin D

2sin (C+D/2) cos (C-D/2)

18
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sin C - Sin D

2cos (C+D/2) sin (C-D/2)

19
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cos C + cos D

2cos (C+D/2) cos (C-D/2)

20
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cos C - cos D

2sin (C+D/2) sin (C-D/2)

21
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2 sin A cos B

sin (A+B) + sin (A-B)

22
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2 cos A sin B

sin (A+B) - sin (A-B)

23
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2 cos A cos B

cos (A+B) + cos (A-B)

24
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2 sin A sin B

cos (A-B) - cos (A+B)