Unit 2 Flashcards
1
Q
Draw the Unit Circle
A
:)
2
Q
Pythagorean Identities
A
Sin^2x + Cos^2x = 1
1 + Tan^2x = Sec^2x
1 + Cot^2x = Csc^2x
3
Q
Sin (x+y)
A
sin x cos y + cos x sin y
4
Q
Sin (x-y)
A
sin x cos y - cos x sin y
5
Q
Cos (x+y)
A
cos x cos y - sin x sin y
6
Q
Cos (x-y)
A
cos x cos y + sin x sin y
7
Q
Double Angles:
Sin sx =
Cos 2x =
A
Sin 2x = 2 sin x cos x Cos 2x = cos^2x - sin^2x 2cos^2x - 1 1- 2sin^2x
8
Q
Sin^-1x D and R
A
D: [-1,1] R: [-pi/2, pi/2]
9
Q
Cos ^-1x D and R
A
D: [-1,1] R: [0, pi]
10
Q
Tan^-1x D and R
A
D: All Real Numbers R: (-pi/2, pi/2)
11
Q
sin^-1x
A
1/SqRoot(1-x^2)
12
Q
Cos ^-1x
A
- 1/SqRoot(1-x^2)
13
Q
Tan^-1x
A
1 / x^2 + 1
14
Q
cot^-1x
A
- 1 / x^2 + 1
15
Q
sec^-1x
A
1/ IxI (sq root (x^2 -1))
