trig identities

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17 Terms

1
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sin(a+b)

sin a cos b + cos a sin b

2
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sin(a-b)

sin a cos b - cos a sin b

3
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cos(a+b)

cos a cos b - sin a sin b

4
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cos(a-b)

cos a cos b + sin a sin b

5
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tan(a+b)

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

6
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tan(a-b)

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

7
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sin(2a)

2 sin a cos a

8
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cos(2a) (basic)

cos^2 a - sin^2 a

9
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cos(2a) (cos form)

2 cos^2 a - 1

10
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cos(2a) (sin form)

1 - 2 sin^2 a

11
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tan(2a)

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

12
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sin(a/2)

± sqrt((1 - cos a)/2)

13
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cos(a/2)

± sqrt((1 + cos a)/2)

14
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tan(a/2) (sin/cos form)

sin a / (1 + cos a)

15
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tan(a/2) (cos/sin form)

(1 - cos a) / sin a

16
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tan(a/2) (sqrt form)

± sqrt((1 - cos a)/(1 + cos a))

17
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