Trigonometric Identities / Derivatives of Trigonometric Functions

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Last updated 2:16 AM on 10/2/23
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18 Terms

1
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d/dx (sinx)

cosx

2
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d/dx(cosx)

-sinx

3
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d/dx(tanx)

sec2x

4
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d/dx(cscx)

-cscx cotx

5
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d/dx(secx)

secx tanx

6
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d/dx(cotx)

-csc2x

7
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sin(x+y)

sinx cosy + siny cosx

8
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sin(x-y)

sin x cos y - siny cosx

9
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cos(x+y)

cosx cosy - sinx siny

10
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cos(x-y)

cosx cosy + sinx siny

11
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tan(x+y)

tanx + tany / 1 - tanx tany

12
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tan(x-y)

tanx - tany / 1 + tanx tany

13
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sin2x

2sinxcosx

14
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cos2x

cos2x - sin2×

2cos2x - 1

1 - 2sin2x

15
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tan2x

2tanx / 1 - tan2x

16
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tan2x + 1 =

sec2x

17
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cotx2x + 1 =

csc2x

18
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sin2x + cos2x =

1