Trig Identities

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Pre-Calculus

11th

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40 Terms

1
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cos^2(x)+sin^2(x)=
1
2
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1+tan^2(x)=
sec^2(x)
3
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cot^2(x)+1=
csc^2(x)
4
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tan(x)=
sin(x)/cos(x)
5
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cot(x)=
cos(x)/sin(x)
6
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sin(-x)=
\-sin(x)
7
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cos(-x)=
cos(x)
8
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tan(-x)=
\-tan(x)
9
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csc(-x)=
\-csc(x)
10
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sec(-x)=
sec(x)
11
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cot(-x)=
\-cot(x)
12
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csc(x)=
1/sin(x)
13
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sec(x)=
1/cos(x)
14
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cot(x)=
1/tan(x)
15
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sin(x)=
1/csc(x)
16
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cos(x)=
1/sec(x)
17
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tan(x)=
1/cot(x)
18
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sin(x)=
cos (pi/2-x)
19
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cos(x)=
sin (pi/2-x)
20
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tan(x)=
cot (pi/2-x)
21
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csc(x)=
sec (pi/2-x)
22
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sec(x)=
csc (pi/2-x)
23
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cot(x)=
tan (pi/2-x)
24
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cos(x+-y)=
cos(x)cos(y) +- sin(x)sin(y)
25
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sin(x+-y)=
sin(x)sin(y)+-cos(x)cos(y)
26
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tan(x+-y)=
tan(x)+-tan(y)/1+-tan(x)tan(y)
27
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sin2(x)=
2sin(x)cos(x)
28
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cos2(x)=
cos^2(x)-sin^2(x)

2cos^2(x)-1

1-2sin^2(x)
29
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tan2(x)=
2tan(x)/1-tan^2(x)
30
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sin^2(x)=
1-cos2(x)/2
31
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cos^2(x)=
1+cos2(x)/2
32
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tan^2(x)=
1-cos2(x)/1+cos2(x)
33
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sin(x/2)=
\+-(1-cos(x)/2)^1/2
34
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cos(x/2)=
\+-(1+cos(x)/2)^1/2
35
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tan (x/2)=
\+-(1-cos(x))^1/2

(1-cos(x)/sin(x))^1/2

sin (x)/1+cos(x)
36
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sinA/a=
sinB/b

sinC/c
37
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Area of a triangle=
1/2 absinC
38
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a^2=
b^2+c^2-2bc cosA
39
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cosA=
b^2+c^2-a^2/2bc
40
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Heron’s Formula Area=
(s(s-a)(s-b)(s-c))^1/2