Math Midterm Flashcards
1
Q
Arc Length
A
S = r * θ
2
Q
Area of Sector
A
1/2 * θ * r^2
3
Q
Linear Speed
A
V = s/t
4
Q
Angular Speed Formula
A
w = θ/t
5
Q
Linear speed using angular speed
A
V = r*w
6
Q
Law of Sines
A
Sin A/a = sin B/b
7
Q
Law of Cosines
A
a^2 = b^2 + c^2 - 2bc * cos(A)
8
Q
Periodic Function
A
f(x) = a * sin or cos bx
9
Q
Amplitude
A
|a|
No amplitude for tan functions (undefined)
10
Q
Period
A
Sin: 2pi/|b|
Cos: 2pi/|b|
Tan: Pi/|b|
Csc: 2pi
Sec: 2pi
Cot: Pi
11
Q
sin(sin^-1 x) = x
A
-1 ≤ x ≤ 1
12
Q
cos(cos^-1 x) = x
A
-1 ≤ x ≤ 1
13
Q
tan(tan^-1 x) = x
A
-∞ < x < ∞
14
Q
sin^-1(sin x) = x
A
-pi/2 ≤ x ≤ pi/2
15
Q
cos^-1(cos x) = x
A
0 ≤ x ≤ pi
16
Q
tan^-1(tan x) = x
A
-pi/2 < x < pi/2
17
Q
sin θ
A
y
18
Q
cos θ
A
x
19
Q
tan θ
A
y/x
20
Q
csc θ
A
1/y
21
Q
sec θ
A
1/x
22
Q
cot θ
A
x/y
23
Q
What will you remember?
A
When to switch from radians and degrees mode
24
Q
Positive Trigonometric Values
A
Quad I: All
Quad II: sin, csc
Quad III: tan, cot
Quad IV: cos, sec
25
S
S = r * revolutions * 2pi
26
θ
2pi*revolutions
27
Area of triangle using sin
A = 1/2 B*C*sin(angle in between)
28
Heron's Formula
s = (a + b + c)/2
A = sqrt(s*(s-a)(s-b)(s-c))
