Math Concepts Flashcards

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1
Q

degree to radian conversion

A

radians = degree (π/180º)
π in this calculation is 3.14
or π radians = 180º

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2
Q

radian to degree conversion

A

degree = radian (180º/π)
π in this calculation is 3.14
or π radians = 180º

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3
Q

what is π in degrees? 2π?

A

π = 180º, 2π = 360º

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4
Q

10^-x = ?

A

1/10^x

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5
Q

exponent law: b^-p = ?

A

b^-p = 1/10^p
ex: 10^-7 = 1/10^7
log(2)y=-3 -> y = 2^-3, y = 1/8

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6
Q

square root law

A

x√a^y = a^(y/x)

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7
Q

simple way to add/subtract fractions

A

a/b + c/d = ad - bc/bd

a/b - c/d = ad - bc/bd

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8
Q

rule for solving for > and < signs

A

flip sign when rearranging equation (multiplying, don;t have to when just adding)

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9
Q

quadrants in a graph

A

upper right is Q1, then go counterclockwise

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10
Q

3 special triangles

A

1,1,√2 (45º, 45º, 90º)
1,2,√3 (30º, 90º, 60º)
3,4,5 (37º, 53º, 90º)

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11
Q

what is sin60º and cos30º

A

√3/2

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12
Q

what is inverse (sin/cos/tan)

A

for example: sin-1 (1/2) = 30º

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13
Q

what is tanθ?

A

tanθ = sinθ/cosθ

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14
Q

what must a graph of direct proportion look like?

A

It must go through the origin and be a linear increase.

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15
Q

rearrange b^a=c in log form

A

log(b)c = a

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16
Q

rearrange log(b)c=a

A

b^a = c

17
Q

what is log 1?

A

0

18
Q

what is a natural log (ln)?

A

lny = log(e)y = log(2.7)y

2.7^x=y

19
Q

how to deal with log exponents (logY^z)

A

logY^z = zlogY

with bases the same

20
Q

how to deal with multiplication/division of logs

A

log(yz) = log(y) + log(z)
log(y/z) = log(y) - log(z)
with bases the same

21
Q

what is y = x^1/2

A
x^1/2 = √x
16^1/2 = 4
22
Q

what are the acid/base log rules?

A

1-3 x 10^-5 = pH btw 4 and 5 (closer to 5)
3 x 10^-5 = pH at 4.5
3-9 x 10^-5 = pH btw 4 and 5 (closer to 4)