Fundamental Trigonometric Identities Formula Sheet

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21 Terms

1
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Double Angle Identity: sin 2u = ?

2 sinu cosu

2
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Double Angle Identities: cos 2u = #1?

cos²u - sin² u

3
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Double Angle Identities: cos 2u = #2?

2cos²u - 1

4
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Double Angle Identities: cos 2u = #3?

1 - 2 sin² u

5
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Sum and Difference Identities:

sin (u + v) = ?

sinU cosV + cosU sinV

6
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Sum and Difference Identities:

sin (u-v) = ?

sinU cosV - cosU sinV

7
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Sum and Difference Identities:

cos (u+v) = ?

cosU cosV - sinU sinV

8
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Sum and Difference Identities:

cos (u-v) = ?

cosU cosV + sinU sinV

9
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Co-function Identities:

sin (pie/2 - u) =

cosU

10
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Co-function Identities: tan (pie/2 - u) = ?

cotu

11
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Co-function Identities: sec(pie/2 - u) = ?

cscU

12
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Co-function Identities: cos(pie/2 - u) = ?

sinU

13
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Co-function Identities: cot(pie/2 - u) = ?

tanU

14
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Co-function Identities: csc(pie/2 - u) = ?

secU

15
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Odd/Even Identities: sin(-u) = ?

- sin(u)

16
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Odd/Even Identities: tan (-u) = ?

- tan(u)

17
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Odd/Even Identities: cos(- u) = ?

cos(u)

18
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Odd/Even Identities: sec(-u) = ?

sec(u)

19
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Odd/Even Identities: csc(-u) = ?

- csc(u)

20
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Odd/Even Identities: cot(-u) = ?

- cot(u)

21
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