Trig Identities Flashcards
1
Q
cos^2(x)=
A
1-sin^2(x)
Or
(1+cos(2x))/2
2
Q
Cos(x+y)=
A
Cos(x)cos(y)-sin(x)sin(y)
3
Q
Cos(2x)
A
Cos^2(x)-sin^2(x)
4
Q
Sin(2x)
A
2sin(x)cos(x)
5
Q
Integral of sin(x)
A
-cos(x)
6
Q
Integral of cos(x)
A
Sin(x)
7
Q
Integral of tan(x)
A
ln|sec(x)|
8
Q
Integral of sec
A
ln|sec(x)+tan(x)|
9
Q
Integral of cot(x)
A
ln|sin(x)|
10
Q
Integral of csc(x)
A
-ln|csc(x)+cot(x)|
11
Q
sec^2(x)
A
tan^2(x)+1
12
Q
tan^2(x)
A
sec^2(x)-1
13
Q
csc^2(x)
A
1+cot^2(x)
14
Q
cot^2(x)
A
csc^2(x)-1
15
Q
cos^-1(x)
A
sec(x)
16
Q
sin^-1(x)
A
csc(x)
17
Q
Sin^2(x)=
A
1-cos^2(x)
Or
(1-cos(2x))/2
18
Q
Integral of sec^2(x)
A
tan(x)
19
Q
Integral of tan^2(x)
A
tan(x)-x
20
Q
a^2-a^2*sin^2(x)=
A
a^2*cos^2(x)
21
Q
a^2+ a^2tan^2(x)=
A
a^2*sec^2(x)
22
Q
a^2*sec^2(x)-a^2=
A
a^2*tan^2(x)
23
Q
Tan
A
Opp/adj
24
Q
Cos
A
Adj/hyp
25
Sin
Opp/hyp
26
1/sin^2(x)
csc^2(x)
27
Integral of csc^2(x)
-cot(x)+C
28
1/sec^2(x)
cos^2(x)
29
Sin(2x)/2
sin(x)cos(x)
