Exam 1 Flashcards

1
Q

Pythagorean identity

A

sin^2+cos^2=1

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2
Q

Sin and Cos even or odd?

A

Sin is odd, cos even

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3
Q

sin2u

A

2sinucosu

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4
Q

cos2u

A

1-2sin^2u or cos^2-sin^2

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5
Q

sin(u+v)

A

sinucosv+cosusinv

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6
Q

cos(u+v)

A

cosucosv-sinusinv

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7
Q

b^x graph

A

same as e graph

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8
Q

ln1

A

0

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9
Q

lne

A

1

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10
Q

ln(0)

A

DNE, -infinity

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11
Q

change of base formula

A

loga X/ log a b

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12
Q

log point

A

(1,0)

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13
Q

e graph point

A

(0,1)

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14
Q

Half life formula

A

A=Ao(r)^t/T

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15
Q

arcsin arccsc arctan

A

QI and QIV. -pi/2 to pi/2

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16
Q

arcsin arccsc arctan negative number

A

-(reference angle)

17
Q

arccos, arcsec, arctan negative number

A

pi-reference angle

18
Q

arccosx arcsecd arccotx

A

QI and QII o and pi

19
Q

sinx and cosx range

A

-1 to 1

20
Q

Arctrig on inside

A

draw triangle

21
Q

x^3+y^3

A

(x+y)(x^2-xy+y^2)

22
Q

X^3-y^3

A

(x-y)(x^2+xy+y^2)

23
Q

sinx/x limit to 0

A

1

24
Q

tanx/x limit to 0

A

1

25
Q

cosx-1/x limit as x appraches 0

A

0

26
Q

bottom>top at infnity

A

0

27
Q

sin is

A

odd

28
Q

cos is

A

even

29
Q

tan is odd

A

odd

30
Q

sec is

A

even

31
Q

e^infinity

A

infinity

32
Q

e^-infinity

A

0

33
Q

f(x+c)

A

left units

34
Q

f(-x)

A

y axis

35
Q

-f(x)

A

x axis

36
Q

Box

A

SA=2x^2+4xy

V=x^2y

37
Q

Cylinder

A

v=pir^2h

SA=2pir^2+2pirh