alg Flashcards

(23 cards)

1
Q

midpoint formul

A

x-coordinate: x1+x2 divided by 2
y-coordinate: y1+y2 diviided by 2

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2
Q

distance formula

A

square root of [{x2-x1)^2 + (y2-y1)^2]

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3
Q

circle equation (explain variables

A

(x-h)^2+(y-k)^2 = r^2
r is the radius
(h,k) is the center

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4
Q

45 45 90 triangle

A

legs=1 hypotenuse = sqrt of 2

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5
Q

30 60 90 triangle

A

1, sqrt 3, 2 (in this order for 30,60,90 respectively)

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6
Q

sine

A

o/h

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7
Q

cosine (cos)

A

a/h

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8
Q

tangent (tan)

A

o/a

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9
Q

inverse of sin

A

csc aka cosecant h/0

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10
Q

inverse of cos

A

secant aka sec h/a

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11
Q

inverse of tan

A

cot aka cotangent a/o

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12
Q

remember angle of elevation and depression and inverse trig stuff

A

ok

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13
Q

standard position

A

an angle positioned so that its vertex is at the origin and its initial side is along the positive x-axis

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14
Q

initial side

A

fixed ray of an angle

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15
Q

terminal side

A

a ray of an angle that rotates about the center

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16
Q

coterminal angles

A

2 or more angles in standard position that have the same terminal side

17
Q

there is an – number of coterminal angles

18
Q

positive angles

A

start above x-axis and rotate counterclockwise.

19
Q

egative anlges

A

start below x-axis and rotate clockwise

20
Q

if “find negative coterminal angle of 600 degrees then

A

keep subtracting 360 until you get a negative number.

21
Q

how do you find coterminal angles.

A

add and subtract 360

22
Q

degrees to r

A

multiply deg by pi radians over 180 degrees

23
Q

r to d

A

multiply number of radians b y 180 over pi radians