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Trigonometric Identities
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Pre-Calculus
11th
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19 Terms
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1
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cscθ
1/sinθ (Reciprocal Identity)
2
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sinθ
1/cscθ (Reciprocal Identity)
3
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secθ
1/cosθ (Reciprocal Identity)
4
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cosθ
1/secθ (Reciprocal Identity)
5
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cotθ
1/tanθ (Reciprocal Identity)
6
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tanθ
1/cotθ (Reciprocal Identity)
7
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tan θ
sinθ/cosθ (Quotient Identity)
8
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cot θ
cosθ/sinθ (Quotient Identity)
9
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sin²θ + cos²θ
1 (Pythagorean Identity)
10
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tan²θ + 1
sec²θ (Pythagorean Identity)
11
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1 + cot²θ
csc²θ (Pythagorean Identity)
12
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sin(α ± β)
sinαcosβ ± sinβcosα (Sum and Difference Identities)
13
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cos(α ± β)
cosαcosβ ∓ sinαsinβ (Sum and Difference Identities)
14
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tan(α ± β)
tan α ± tan β / 1 ∓ tan α tan β (Sum and Difference Identities)
15
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sin 2θ
2sinθcosθ (Double Angle Identities)
16
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tan 2θ
2 tanθ / 1 − tan²θ (Double Angle Identites)
17
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cos 2θ
cos²θ-sin²θ (Double Angle Identites)
18
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cos 2θ
2cos²θ-1 (Double Angle Identites)
19
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cos 2θ
1-2sinθ (Double Angle Identites)
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