fundamental Identities

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Last updated 10:47 PM on 2/9/24
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23 Terms

1
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sinθ

opposite/hypotenuse

2
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sinθ (x/y/r)

y/r

3
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cosθ

adjacent/hypotenuse

4
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cosθ (x/y/r)

x/r

5
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tanθ

opposite/adjacent

6
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tanθ (x/y/r)

y/x

7
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cscθ

hypotenuse/opposite

8
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cscθ (x/y/r)

r/y

9
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secθ

hypotenuse/adjacent

10
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secθ (x/y/r)

r/x

11
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cotθ

adjacent/opposite

12
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cotθ (x/y/r)

x/y

13
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Reciprocal of sinθ (1/___)

1/cscθ

14
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Reciprocal of cscθ (1/___)

1/sinθ

15
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Reciprocal of cosθ (1/___)

1/secθ

16
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Reciprocal of secθ (1/___)

1/cosθ

17
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Reciprocal of tanθ (1/___)

1/cotθ

18
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Reciprocal of cotθ (1/___)

1/tanθ

19
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Quotient Identity for tanθ

sinθ/cosθ

20
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Quotient Identity for cotθ

cosθ/sinθ

21
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Pythagorean Identity #1 (for r)

cos²θ + sin²θ = 1

22
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Pythagorean Identity #2 (for x)

1 + tan²θ = sec²θ

23
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Pythagorean Identity #3 (for y)

cot²θ + 1 = csc²θ