trig identities

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38 Terms

1
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csc x=

1/sin

2
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sec x=

1/cos

3
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cot x=

1/tan

4
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tan x=

sinx/cosx

5
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cotx=

cosx/sinx

6
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sin^2x+cos^2x=

1

7
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sin(-x)

-sinx

8
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tan^2 x+1=

sec^2 x

9
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1+cot^2 x=

csc^2 x

10
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cos (-x)

cosx

11
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tan (-x)

-tanx

12
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sin (pi/2 - u)=

cos u

13
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cos (pi/2-u)=

sin u

14
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tan (pi/2-u)

cot u

15
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cot (pi/2-u)

tan u

16
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csc (pi/2 - u)

sec u

17
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sin (s+t)

sin s cos t+ cos s sin t

18
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sin (s-t)

sin s cos t- cos s sin t

19
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cos (s+t)

cos s cos t- sin s sin t

20
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cos (s-t)

cos s cos t+ sin s sin t

21
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tan (s+t)

(tan s + tan t )/ (1-tan s tan t)

22
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tan (s-t)

(tan s - tan t)/(1+ tan s tan t)

23
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sin u cos v

1/2 [sin (u+v) + sin (u-v)]

24
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cos u sin v

1/2 [sin (u+v)- sin (u-v)]

25
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cos u cos v

1/2[cos (u+v)+ cos (u-v)]

26
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sin u sin v

1/2 [cos (u+v)- cos (u+v)]

27
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sin x+ sin y

2sin (x+y)/2 cos (x-y)/2

28
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sinx- siny

2 cos (x+y)/2cos (x-y)/2

29
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cosx+ cos y

2 cos (x+y)/2 cos (x-y)/2

30
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cos x- cos y

-2sin (x+y)/2 sin (x-y)/2

31
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sin 2x

2sin x cosx

32
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cos2x

cos^2 x- sin^2 x; = 1-2sin^2x; = 2 cos^2 x-1

33
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tan 2x

2tanx/(1-tan^2 x)

34
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sin^2 x

(1-cos 2x)/2

35
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tan ^2 x

(1-cos2x)/(1+cos2x)

36
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sin u/2

+- sqrt (1-cos u)/2

37
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cos u/2

+- sqrt (1+cos u)/2

38
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tan u/2

(1-cos u)/sin u; = sin u/ (1+cos u)