Unit 1 Flashcards
0
Q
Sin pi/6
A
1/2
1
Q
Sin 0
A
0
2
Q
sin pi/4
A
1/(radical 2) = (radical 2)/2
3
Q
Sin pi/3
A
(radical 3)/2
4
Q
sin pi/2
A
1
5
Q
sin pi
A
0
6
Q
sin (3 pi)/2
A
-1
7
Q
sin (2 pi)
A
0
8
Q
cos 0
A
1
9
Q
cos (pi/6)
A
(radical 3)/2
10
Q
cos (pi/4)
A
1/(radical 2) = (radical 2)/2
11
Q
cos (pi/3)
A
1/2
12
Q
cos (pi/2)
A
0
13
Q
cos pi
A
-1
14
Q
cos (3 pi/2)
A
0
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
sec ø
| in terms of sine and/or cosine
1/(cos ø)
25
Point-slope form of a linear equation
Y-Y1=m(X-X1)
26
An even function is...
...symmetric with respect to the y-axis, like y=x^2, y=cos x, or y=absolutev(x)
f(-x)=f(x)
27
An odd function is...
...symmetrical with respect to the origin, like y=x^3, y=sin x, or y=tan x
f(-x)=-f(x)
28
Two formulas for area of a triangle
A=1/2(bh)
A=1/2(absinC)
29
Area of a circle
A=(pi)r^2
30
Circumference of a circle
C=2(pi)r
31
Volume of a cylinder
V=(pi)r^2(h)
32
Volume of a cone
V=1/3(pi)r^2(h)
33
Volume of a sphere
V=4/3(pi)r^3
34
Surface area of a sphere
A=4(pi)r^2
35
A tangent line is...
...the line through a point on a curve with slope equal to the slope of the curve at that point.
36
A secant line is...
...the line connecting two points on a curve.
37
A normal line is...
...the line perpendicular to the tangent line at the point of tangency.
38
f(x) is continuous at x=c when...
1) f(c) exists
2) lim f(x) exists; and
x->c
3) lim f(x) = f(c)
x->c
