Trig Indentities

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48 Terms

1
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1/csc(x)

Sin

2
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1/sin(x)

csc

3
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1/sec(x)

cos

4
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1/cos(x)

sec

5
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1/cot(x)

tan

6
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1/tan(x)

cot

7
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Even identities?

cos

8
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Odd Indentities?

Sin and tan

9
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sin²x + cos²x =

1

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tan²x + 1 =

sec²x

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cot²x + 1 =

csc²x

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sin(A + B)

sinAcosB + cosAsinB

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Sin(A - B)

sinAcosB - cosAsinB

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Cos (A + B)

cosAcosB - sinAsinB

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Sin2x

2sinxcosx

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Cos2x

cos²x - sin²x

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cos2x (for sin)

1 - 2sin²x

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cos2x (for cos)

2cos²x - 1

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3-3cos²x

3sinx

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1+tan²x

sec²x

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1-sin²x

cos²x

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1+cot²x

csc²x

23
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cos²x-1

-sin²x

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sec²x-tan²x

1

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1-sin²x

cos²x

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sin²x-1

-cos²x

27
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Restricted domain of tan^-1(x)

(-pie/2, pie/2)

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Restricted domain of sin^-1(x)

[-1,1]

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Restricted domain of cos^-1(x)

[0, pie]

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root 1/4

+- 1/2

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root 1/2

+- root2/2

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root 3/4

+- root3/2

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root 1/3

+- root3/3

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Forumla for x-cord of parabola

-b/2a

35
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6x²-3x³ (even, odd, or nether?)

neither

36
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what kind of reflection? -g(x)

x axis

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what kind of reflection? g(-x)

y axis

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what kind of reflection? af(x)

vertical

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what kind of reflection? f(bx)

horizontal

40
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where is vertical asymptote? f(x) = x+1/(x+1)²

x = -1

41
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where is the hole? f(x) = (x+1)²/x+1

x = -1

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where do you find the zeros of a rational function?

numerator set to zero

43
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where do you find the VA of a rational function?

denominator set to zero

44
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what is the HA when f(x) = x²+4x-11/x³+5x+9

y = 0

45
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what is the HA when f(x) = 5x³-7x+1/x²-9

y = 1

46
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what is the HA when f(x) = 4xÂł+7x/6xÂł-8x+3

y = 2/3

47
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what is the shape of concave up?

U shape

48
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what is the shape of concave down?

n shape