Unit 1 Flashcards

0
Q

Sin pi/6

A

1/2

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1
Q

Sin 0

A

0

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2
Q

sin pi/4

A

1/(radical 2) = (radical 2)/2

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3
Q

Sin pi/3

A

(radical 3)/2

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4
Q

sin pi/2

A

1

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5
Q

sin pi

A

0

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6
Q

sin (3 pi)/2

A

-1

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7
Q

sin (2 pi)

A

0

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8
Q

cos 0

A

1

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9
Q

cos (pi/6)

A

(radical 3)/2

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10
Q

cos (pi/4)

A

1/(radical 2) = (radical 2)/2

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11
Q

cos (pi/3)

A

1/2

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12
Q

cos (pi/2)

A

0

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13
Q

cos pi

A

-1

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14
Q

cos (3 pi/2)

A

0

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15
Q

cos (2 pi)

A

1

16
Q

tan 0

A

0

17
Q

tan (pi/6)

A

1/(radical 3) = (radical 3)/3

18
Q

tan (pi/4)

A

1

19
Q

tan (pi/3)

A

radical 3

20
Q

tan (pi/2)

A

undefined

21
Q

tan ø

in terms of sine and/or cosine

A

(sin ø)/(cos ø)

22
Q

cot ø

in terms of sine and/or cosine

A

1/(tan ø)

23
Q

csc ø

in terms of sine and/or cosine

A

1/(sin ø)

24
Q

sec ø

in terms of sine and/or cosine

A

1/(cos ø)

25
Q

Point-slope form of a linear equation

A

Y-Y1=m(X-X1)

26
Q

An even function is…

A

…symmetric with respect to the y-axis, like y=x^2, y=cos x, or y=absolutev(x)

f(-x)=f(x)

27
Q

An odd function is…

A

…symmetrical with respect to the origin, like y=x^3, y=sin x, or y=tan x

f(-x)=-f(x)

28
Q

Two formulas for area of a triangle

A

A=1/2(bh)

A=1/2(absinC)

29
Q

Area of a circle

A

A=(pi)r^2

30
Q

Circumference of a circle

A

C=2(pi)r

31
Q

Volume of a cylinder

A

V=(pi)r^2(h)

32
Q

Volume of a cone

A

V=1/3(pi)r^2(h)

33
Q

Volume of a sphere

A

V=4/3(pi)r^3

34
Q

Surface area of a sphere

A

A=4(pi)r^2

35
Q

A tangent line is…

A

…the line through a point on a curve with slope equal to the slope of the curve at that point.

36
Q

A secant line is…

A

…the line connecting two points on a curve.

37
Q

A normal line is…

A

…the line perpendicular to the tangent line at the point of tangency.

38
Q

f(x) is continuous at x=c when…

A

1) f(c) exists

2) lim f(x) exists; and
x->c

3) lim f(x) = f(c)
x->c