3.12 trig functions

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Last updated 12:26 PM on 4/30/26
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25 Terms

1
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sin x =

1 / csc x

2
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cos x =

1 / sec x

3
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tan x =

1 / cot x

4
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csc x =

1 / sin x

5
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sec x =

1 / cos x

6
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cot x =

1 / tan x

7
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sin x / cos x =

tan x

8
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cos x / sin x =

cot x

9
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sin2 x + cos2 x =

1

10
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1 + tan2 x =

sec2 x

11
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1 + cot2 x =

csc2 x

12
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sin(-x) =

-sin x

13
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cos(-x) =

cos x

14
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tan(-x)

-tan x

15
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csc(-x) =

-csc x

16
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sec (-x) =

sec x

17
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cot(-x)

-cot x

18
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sin(a+b) =

sin a cos b + cos a sin b

19
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sin(a -b) =

sin a cos b - cos a sin b

20
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cos (a+b) =

cos a cos b - sin a sin b

21
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cos (a-b)

cos a cos b + sin a sin b

22
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sin (2u) =

2 sin u cos u

23
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cos2 u - sin2 u =

cos (2u)

24
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2 cos2 u -1 =

cos (2u)

25
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1 - 2 sin2 u =

cos (2u)