AP Precalculus 3.12 and 3.13 Formulas

studied byStudied by 9 people
0.0(0)
Get a hint
Hint

sin(a + b) =

1 / 26

27 Terms

1

sin(a + b) =

sina(cosb) + cosa(sinb)

New cards
2

sin(a - b) =

sina(cosb) - cosa(sinb)

New cards
3

cos(a + b) =

cosa(cosb) - sina(sinb)

New cards
4

cos(a - b) =

cosa(cosb) + sina(sinb)

New cards
5

tan(a + b) =

(tana + tanb)/(1 - tana(tanb))

New cards
6

tan(a - b) =

(tana - tanb)/(1 + tana(tanb))

New cards
7

sin(2a) =

2sina(cosa)

New cards
8

cos(2a)= (sine formula)

1 - 2sin²(a)

New cards
9

cos(2a)= (cosine formula)

2cos²(a) - 1

New cards
10

sin²a =

(-cos(2a))/2

New cards
11

cos²a =

(cos(2a) + 1)/2

New cards
12

tan²a =

(1 - cos(2a))/(1 + cos(2a)

New cards
13

sin(a/2) =

±√((1 - cosa)/2)

New cards
14

cos(a/2) =

±√((1 + cosa)/2)

New cards
15

tan(a/2) = (cosine only)

±√((1-cosa)/(1 + cosa))

New cards
16

tan(a/2) = (cosine on top)

(1 - cosa)/(sina)

New cards
17

tan(a/2) = (sine on top)

(sina)/(1 + cosa)

New cards
18

sin²x + cos²x =

1

New cards
19

csc²x =

1 + cot²x

New cards
20

tan²x =

sec²x - 1

New cards
21

sec²x =

tan²x + 1

New cards
22

arccos x =

arcsin√(1 - x²)

New cards
23

arcsinx =

arccos√(1 - x²)

New cards
24

Convert polar to rectangular

x = rcosθ

y = rsinθ

New cards
25

Convert rectangular to polar (when θ is in betwen 0 and 2pi)

r = √(x² + y²)

θ = arctan (y/x)

New cards
26

Convert rectangular complex to polar

r = √(x² + y²), θ = arctan (y/x)

x = real number, y = coefficent of imaginary for r, full number for θ

New cards
27

Convert polar to rectangular complex

x = rcosθ

y = rsinθ

New cards

Explore top notes

note Note
studied byStudied by 4 people
... ago
5.0(1)
note Note
studied byStudied by 21 people
... ago
5.0(1)
note Note
studied byStudied by 21 people
... ago
5.0(1)
note Note
studied byStudied by 1 person
... ago
5.0(1)
note Note
studied byStudied by 6 people
... ago
5.0(1)
note Note
studied byStudied by 31 people
... ago
5.0(1)
note Note
studied byStudied by 6 people
... ago
5.0(1)
note Note
studied byStudied by 674 people
... ago
5.0(4)

Explore top flashcards

flashcards Flashcard (63)
studied byStudied by 22 people
... ago
5.0(1)
flashcards Flashcard (85)
studied byStudied by 14 people
... ago
5.0(1)
flashcards Flashcard (183)
studied byStudied by 7 people
... ago
5.0(1)
flashcards Flashcard (20)
studied byStudied by 1 person
... ago
5.0(1)
flashcards Flashcard (34)
studied byStudied by 21 people
... ago
5.0(1)
flashcards Flashcard (58)
studied byStudied by 17 people
... ago
5.0(1)
flashcards Flashcard (58)
studied byStudied by 12 people
... ago
5.0(2)
flashcards Flashcard (76)
studied byStudied by 452 people
... ago
5.0(7)
robot