Unit Circle Flashcards
(50 cards)
1
Q
Tangent =
A
Sine/cosine
TOA Opposite/Adjacent
2
Q
Cotangent =
A
CAO Adjacent/Opposite
Reciprocal of tangent
3
Q
Secant =
A
Reciprocal of Cosine
4
Q
Cosecant =
A
Reciprocal of Sine
5
Q
CSC(x)=
A
1/Sin(x)
6
Q
Sec(x)=
A
1/Cos(x)
7
Q
Cot(x)=
A
1/tan(x)
So flip tan and = cos(x)/sin(x)
8
Q
Tan(x)=
A
Sin(x)/cos(x)
9
Q
Sin^2(x) + cos^2(x)= ?
A
1
10
Q
Tan^2(x) + 1 =
A
Sec^2(x)
11
Q
1 + Cot^2(x) =
A
Csc^2(x)
12
Q
Sin(-x)=
A
-sin(x)
13
Q
Cos(-x)=
A
Cos(x)
14
Q
Tan(-x) = ?
A
-tan(x)
15
Q
A
16
Q
Sin(pi/2 - x) =
A
Cos(x)
17
Q
Tan(pi/2 - x) =
A
Cot(x)
18
Q
Sec(pi/2 - x) = ?
A
Csc(x)
19
Q
Cos(pi/2 - x) = ?
A
Sin(x)
20
Q
Tan(pi/2 - x) =?
A
Cot(x)
21
Q
Cot(pi/2 - x) = ?
A
Tan(x)
22
Q
Sec(pi/2 - x) = ?
A
Csc(x)
23
Q
CSC(pi/2 - x) = ?
A
Sec(x)
24
Q
Period of sin=
A
2pi
25
Period of tangent = ?
Pi
26
Period of cosine = ?
2pi
27
Period of cotangent =
Pi
28
Period of CSC = ?
2pi
29
Period of Secant = ?
2pi
30
1-cos^2(x) = ?
Sin^2(x)
31
Reciprocal csc(x) ?
1/sin(x)
32
Reciprocal Sec(x) = ?
1/Cos(x)
33
Reciprocal Cot(x) = ?
1/Tan(x)
34
Reciprocal of Tan(x) = ?
Sin(x)/Cos(x)
35
Reciprocal Of Cot(x) = ?
Cos(x)/Sin(x)
36
Sin(A+B)= ?
Sin(A)Cos(B) + Cos(A)Sin(B)
37
Sin(x+y) =
Sin(x)Cos(y)+sin(y)cos(x)
38
Sin(x-y) = ?
Sin(x)Cos(y)-Sin(y)Cos(x)
39
Cos(x+y) = ?
Cos(x)Cos(y)-Sin(x)Sin(y)
40
Cos(x-y) = ?
Cos(x)Cos(y)+Sin(x)Sin(y)
41
Double Angle Sin(2x) = ?
Sin(2x) = 2Sin(x)Cos(x)
42
Double Angle Cos(2x) = ?
Cos(2x) = Cos^2(x)-Sin^2(x)
= 2Cos^2(x)-1
= 1-2Sin^2(x)
43
1/2 Angle Sin(u/2) =
Sin(u/2) = +/- (1-Cos(u) / 2)^1/2
44
1/2 Angle Cos(u/2) =
1/2 Angle Cos(u/2) = +/- (1+Cos(u) / 2)^1/2
45
Lowering Powers of Sin^2(x) =
Lowering Powers of Sin^2(x)
= 1-Cos(2x)/2
46
Lowering Powers of Cos^2(x) =
Lowering Powers of Cos^2(x)
= 1+Cos(2x)/2
47
Lowering Powers of Tan^2(x) =
Lowering Powers of Tan^2(x)
= 1-Cos(2x)/1+Cos(2x)
48
Double Angle Cos(2x) =
Double Angle Cos(2x) = 2Cos^2(x)-1
49
Product-Sum Formula of
Cos(u)Sin(v)=
Product-Sum Formula of
Cos(u)Sin(v)= 1/2[Sin(u+v) - Sin(u-v)]
50
Double Angle Formula of Cos(2x)=
Double Angle Formula of
Cos(2x)= 2Cos^2(x)-1
