Pythagorean Identities

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19 Terms

1
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sin²x + cos²x

1

2
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tan²x + 1

sec²x

3
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cot²x + 1

csc²x

4
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sin2x

2 sin x cos x

5
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cos 2x

cos²x - sin²x

6
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tan 2x

2 tan x/1 - tan² x

7
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sin(a+b)

sin a cos b + cos a sin b

8
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sin(a-b)

sin(a)cos(b) - cos(a)sin(b)

9
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cos(a+b)

cos(a) cos(b) - sin(a) sin(b)

10
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cos(a-b)

cos(a)cos(b) + sin(a)sin(b)

11
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tan(a+b)

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

12
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sin x + sin y

2 sin(x+y/2) cos(x-y/2)

13
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sin x - sin y

2 cos(x+y/2) sin(x-y/2)

14
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cos x + cos y

2 cos(x+y/2) cos(x-y/2)

15
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cos x - cos y

2 sin(x+y/2) sin(x-y/2)

16
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sin(u) cos(v)

1/2(sin(u+v) + sin(u-v))

17
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cos(u) sin(v)

1/2(sin(u+v) - sin(u-v))

18
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cos(u) cos(v)

1/2(cos(u-v) + cos(u+v))

19
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sin(u) sin(v)

1/2(cos(u-v) - cos(u+v))