Hirsch Trig Identities

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30 Terms

1
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sin^2x + cos^2x

1

2
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1 - cos^2

sin^2

3
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1 - sin^2

cos^2

4
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1 + cot^2

csc^2

5
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cot^2

csc^2 - 1

6
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csc^2 - cot^2

1

7
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1 + tan^2

sec^2

8
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sec^2 - 1

tan^2

9
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sec^2 - tan^2

1

10
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sin(a+b)

sinAcosB+cosAsinB

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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cos(a-b)

cosAcosB+sinAsinB

14
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tan(a+b)

tanA+tanB/1-tanAtanB

15
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tan(a-b)

tanA-tanB/1+tanAtanB

16
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sin(2x)

2sinxcosx

17
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cos(2x) A

cos^2x-sin^2x

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cos(2x) B

1-2sin^2x

19
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cos(2x) C

2cos^2x-1

20
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tan(2x)

2tanx/1-tan^2x

21
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cos(x/2)

+-√1+cos(x)/2

22
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sin(x/2)

+-√1-cos(x)/2

23
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tan(x/2

+/-√((1-cosx)/(1+cosx))

24
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sinθ

y/r

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cosθ

x/r

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rsinθ

y

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rcosθ

x

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(x,y)

(rcosθ, rsinθ)

29
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x² + y²

r²

30
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(r,θ)

(root(x²+y²),arctan(y/x)