Identities Flashcards
1
Q
Sin2ø
A
2sinøcosø
2
Q
Cos2ø
Identity involving Cosø
A
2Cos2ø - 1
3
Q
Cos2ø
Identity involving Sinø
A
1-2Sin2ø
4
Q
asinø + bcosø
A
Rsin(ø + α)
5
Q
asinø - bcosø
A
Rsin(ø - α)
6
Q
acosø + bsinø
A
Rcos(ø - α)
7
Q
acosø - bsinø
A
Rcos(ø + α)
8
Q
Rcos(ø + α)
R=?
A
R=√a2 + b2
9
Q
Rcos(ø + α)
What is α
A
α=tan-1(b/a)
Ignoring any signs
10
Q
∫sin2ø dø
A
Using cos2ø = 1 - 2sin2ø
sin2ø = 1/2(1 - cos2ø)
11
Q
tan2ø
A
2tanø
1 - tan2ø
12
Q
What is the volumes of revolution formula?
A
π∫ y2 dx
13
Q
Vector Equation of a line AB
A
a + µ(b-a)
14
Q
Ratio Theorum
Line AB split in the ratio λ:µ
A
µa + λb
λ + µ
15
Q
Binomial Expanision
(1+x)n
A
1+nx+_n(n-1)_x2
2!
