Calc !-Trig Identities

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30 Terms

1
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d/dx[sin x]

cos x

2
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d/dx[cos x]

-sin x

3
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d/dx[tan x]

sec^2 x

4
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d/dx[cot x]

-csc^2 x

5
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d/dx[sec x]

sec x tan x

6
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d/dx[csc x]

-csc x cot x

7
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sin^2 x + cos^2 x

1

8
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1 + tan^2 x

sec^2 x

9
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1 + cot^2 x

csc^2 x

10
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sin(-x)

-sin x

11
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cos(-x)

cos x

12
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tan(-x)

-tan x

13
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cot(-x)

-cot x

14
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sec(-x)

sec x

15
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csc(-x)

-csc x

16
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sin(a + b)

sin a cos b + cos a sin b

17
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sin(a - b)

sin a cos b - cos a sin b

18
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cos(a + b)

cos a cos b - sin a sin b

19
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cos(a - b)

cos a cos b + sin a sin b

20
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tan(a + b)

(tan a + tan b) / (1 - tan a tan b)

21
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tan(a - b)

(tan a - tan b) / (1 + tan a tan b)

22
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sin 2x

2 sin x cos x

23
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cos 2x

cos^2 x - sin^2 x

24
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cos 2x

2 cos^2 x - 1

25
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cos 2x

1 - 2 sin^2 x

26
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tan 2x

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

27
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sin^2(x/2)

(1 - cos x)/2

28
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cos^2(x/2)

(1 + cos x)/2

29
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tan(x/2)

(1 - cos x)/sin x

30
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tan(x/2)

sin x/(1 + cos x)