Finals Flashcards
1
Q
Pythagorean triples
A
3,4,5
5,12,13
7,24,25
2
Q
sin^2 x + cos^2 x
A
1
3
Q
tan^2 x + 1
A
sec^2 x
4
Q
1 + cot^2 x
A
csc^2 x
5
Q
sin 2 x
A
2 sin x cos x
6
Q
cos 2 x
A
cos^2 x - sin^2 x
1 - 2 sin^2 x
2 cos^2 x - 1
7
Q
tan 2 x
A
(2 tan x) / (1 - tan x)
8
Q
sin 1/2 x
A
+- √(1/2 (1 - cos x))
9
Q
cos 1/2 x
A
+- √(1/2 (1 + cox x))
10
Q
cos (A + B)
A
cos A cos B - sin A sin B
11
Q
sin (A + B)
A
sin A cos B + cos A sin B
12
Q
law of cosine
A
c^2 = a^2 + b^2 - 2ab cos C
13
Q
law of sine
A
(sin C / c) = (sin B / b) = (sin A / a)
check for second angle by 180 - [whatever angle answer you got]
14
Q
area equation
A
1/2 bc sin A
15
Q
loga(xy)
A
loga(x) + loga(y)
16
Q
loga(x/y)
A
loga(x) - loga(y)
17
Q
loga(x^n)
A
n loga(x)
18
Q
loga(x)
A
y
a^y = x
19
Q
loga(b)
A
(log b / log a) = (ln b / ln a)
20
Q
loga(1)
A
0
21
Q
loga(a)
A
1
22
Q
a^(loga(x))
A
x
23
Q
loga(a^x)
A
x
24
Q
y = e^x is also
A
y = loge(x) = ln x
25
Q
ln 1 =
A
0
26
Q
ln e =
A
1
27
Q
e^(ln x)
A
x
