Trig identities 1/30

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Pre-Calculus

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21 Terms

1
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sin2x

2sinxcosx

2
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cos2x : 1

cos²x-sin²x

3
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cos2x : 2

1-2cos²x

4
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cos2x : 3

2sin²x - 1

5
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tan2x

2tanx / 1 - tan²x

6
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sin²x

1-cos2x/2

7
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cos²x

1+cosx/2

8
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tan²x

1-cosx/1+cosx

9
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sin (x/2)

+-sqrt (1-cosx/2)

10
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cos (x/2)

+-sqrt (1+cosx/2)

11
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tan (x/2)

+- sqrt (1-cosx/1+cosx)

12
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tan (x/2) : 2

1-cosx/sinx

13
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tan (x/2) : 3

sinx/1+cosx

14
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sinasinb

½ [cos (a - b) - cos (a+b)]

15
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cosacosb

½[cos (a - b) + cos (a + b)]

16
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sinacosb

½[sin (a+b) + sin (a-b)]

17
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cosasinb

½[sin (a+b ) - sin (a-b)]

18
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sina + sinb

2sin(a+b/2)cos(a-b/2)

19
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sina - sinb

2cos(a+b/2)sin(a-b/2)

20
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cosa + cosb

2cos(a+b/2)cos(a-b/2)

21
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cosa - cosb

-2sin(a+b/2)sin (a-b/2)

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