trig identities

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Last updated 11:42 PM on 5/12/26
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38 Terms

1
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Reciprocal of csc(x)

1/sin(x)

2
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Reciprocal of sec(x)

1/cos(x)

3
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Reciprocal of cot(x)

1/tan(x)

4
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Quotient of tan(x)

sin(x)/cos(x)

5
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Quotient of cot(x)

cos(x)/sin(x)

6
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Pythagorean: sin²(x) + _____ = 1

cos²(x)

7
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Pythagorean: _____ + cos²(x) = 1

sin²(x)

8
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1 - sin²(x) =

cos²(x)

9
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1 - cos²(x) =

sin²(x)

10
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1+ tan²(x) =

sec²(x)

11
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1 = sec²(x) - ______

tan²(x)

12
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sec²(x) - 1 =

tan²(x)

13
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1 + cot²(x) =

csc²(x)

14
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csc²(x) - 1 =

cot²(x)

15
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csc²(x) - _____ = 1

cot²(x)

16
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sin(2x) =

2sin(x)cos(x)

17
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2sin(x)cos(x) =

sin(2x)

18
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cos(2x) =

cos²(x) - sin²(x)

19
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cos²(x)-sin²(x)

cos(2x)

20
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tan(2x) =

2tan(x) / 1-tan²(x)

21
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2tan(x) / 1-tan²(x) =

tan(2x)

22
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sin(a + b) =

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

23
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sin(a)cos(b) + cos(a)sin(b) =

sin(a + b)

24
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sin(a - b) =

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

25
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sin(a)cos(b) - cos(a)sin(b) =

sin(a - b)

26
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cos(a + b) =

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

27
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cos(a)cos(b) - sin(a)sin(b) =

cos(a + b)

28
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cos(a - b) =

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

29
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cos(a)cos(b) + sin(a)sin(b) =

cos(a - b)

30
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tan(a + b) =

tan(a) + tan(b) / 1 - tan(a)tan(b)

31
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tan(a) + tan(b) / 1 - tan(a)tan(b) =

tan(a + b)

32
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tan(a - b) =

tan(a) - tan(b) / 1 + tan(a)tan(b)

33
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tan(a) - tan(b) / 1 + tan(a)tan(b) =

tan(a - b)

34
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  1. cos (2x) =

2cos²(x) - 1

35
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2cos²(x) - 1

cos (2x)

36
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  1. cos(2x)

1 - 2sin²(x)

37
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1 - 2sin²(x)

cos(2x)

38
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Reciprocal of tan(x)

1 / cot(x)