Trigonometry Identities

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38 Terms

1
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Reciprocal Identity

sin θ=

Reciprocal Identity

<p>Reciprocal Identity</p>
2
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Reciprocal Identity

cos θ=

Reciprocal Identity

<p>Reciprocal Identity</p>
3
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Reciprocal Identity

tan θ=

Reciprocal Identity

<p>Reciprocal Identity</p>
4
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Reciprocal Identity

csc θ=

Reciprocal Identity

<p>Reciprocal Identity</p>
5
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Reciprocal Identity

sec θ=

Reciprocal Identity

<p>Reciprocal Identity</p>
6
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Reciprocal Identity

cot θ=

Reciprocal Identity

<p>Reciprocal Identity</p>
7
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Pythagorean Identity (sin/cos)

1=

Pythagorean Identity

<p>Pythagorean Identity</p>
8
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Pythagorean Identity

cos² θ=

Pythagorean Identity

<p>Pythagorean Identity</p>
9
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Pythagorean Identity

sin² θ=

Pythagorean Identity

<p>Pythagorean Identity</p>
10
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Pythagorean Identity

1 + tan² θ

Pythagorean Identity

<p>Pythagorean Identity</p>
11
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Pythagorean Identity

cot² θ + 1=

Pythagorean Identity

<p>Pythagorean Identity</p>
12
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Quotient Identity

tan θ=

Quotient Identity

<p>Quotient Identity</p>
13
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Quotient Identity

cot θ=

Quotient Identity

<p>Quotient Identity</p>
14
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Pythagorean Identity

tan² θ=

Pythagorean Identity

sec² θ - 1

15
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Pythagorean Identity (sec/tan)

1=

Pythagorean Identity

sec² θ - tan² θ

16
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Pythagorean Identity

cot² θ=

Pythagorean Identity

csc² θ - 1

17
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Pythagorean Identity (csc/cot)

1=

Pythagorean Identity

csc² θ - cot² θ

18
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Even/Odd Identity

sin(-x)=

Even/Odd Identity

-sin x

19
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Even/Odd Identity

cos(-x)=

Even/Odd Identity

cos x

20
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Even/Odd Identity

tan(-x)=

Even/Odd Identity

-tan x

21
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Even/Odd Identity

csc(-x)=

Even/Odd Identity

-csc x

22
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Even/Odd Identity

sec(-x)=

Even/Odd Identity

sec x

23
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Even/Odd Identity

cot(-x)=

Even/Odd Identity

-cot x

24
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Co-Function Identity

cos (π/2-x)=

Co-Function Identity

sin x

25
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Co-Function Identity

sin (π/2-x)=

Co-Function Identity

cos x

26
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Co-Function Identity

tan (π/2-x)=

Co-Function Identity

cot x

27
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Co-Function Identity

cot (π/2-x)=

Co-Function Identity

tan x

28
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Co-Function Identity

csc (π/2-x)=

Co-Function Identity

sec x

29
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Co-Function Identity

sec (π/2-x)=

Co-Function Identity

csc x

30
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Sum/Difference Identity

sin(a+b)=

Sum/Difference Identity

(sin a)(cos b) + (sin b)(cos a)

31
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Sum/Difference Identity

sin(a-b)=

Sum/Difference Identity

(sin a)(cos b) - (sin b)(cos a)

32
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Sum/Difference Identity

cos(a+b)=

Sum/Difference Identity

(cos a)(cos b) - (sin a)(sin b)

33
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Sum/Difference Identity

cos(a-b)=

Sum/Difference Identity

(cos a)(cos b) + (sin a)(sin b)

34
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Sum/Difference Identity

tan(a+b)=

Sum/Difference Identity

<p>Sum/Difference Identity</p>
35
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Sum/Difference Identity (not needed for AP test)

tan(a-b)=

Sum/Difference Identity

<p>Sum/Difference Identity</p>
36
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Double Angle Identity

sin(2θ)=

Double Angle Identity

2 sin a cos a

<p>Double Angle Identity</p><p>2 sin a cos a</p>
37
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Double Angle Identity (not needed for AP test)

tan(2θ)=

Double Angle Identity

<p>Double Angle Identity</p>
38
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Double Angle Identity

cos(2θ)=

Double Angle Identity

<p>Double Angle Identity</p>