trig identities and equations

studied byStudied by 26 people
5.0(1)
get a hint
hint

sin^2x+cos^2x

1 / 32

33 Terms

1

sin^2x+cos^2x

=1

New cards
2

cos^2x-sin^2x

=cos2x

New cards
3

1+cot^2x

=csc^2x

New cards
4

tan^2x+1

=sec^2x

New cards
5

sinx

=1/cscx

New cards
6

cosx

=1/secx

New cards
7

tanx

=1/cotx

New cards
8

cos(-x)

=cosx

New cards
9

sec(-x)

=secx

New cards
10

tan(-x) or -tanx

=sin(-x)/cos(-x)

New cards
11

even

cosx, secx

New cards
12

odd

sinx, cscx, tanx, cotx

New cards
13

sin(pi/2-x)

=cosx

New cards
14

cos(pi/2-x)

=sinx

New cards
15

tan(pi/2-x)

=cotx

New cards
16

csc(pi/2-x)

=secx

New cards
17

sec(pi/2-x)

=cscx

New cards
18

cot(pi/2-x)

=tanx

New cards
19

sin(u+v)

= sin(u)cos(v) + cos(u)sin(v)

New cards
20

sin(u-v)

= sin(u)cos(v)-cos(u)sin(v)

New cards
21

cos(u+v)

= cos(u)cos(v)-sin(u)sin(v)

New cards
22

cos(u-v)

= cos(u)cos(v) + sin(u)sin(v)

New cards
23

tan(u+v)

= tan(u)+tan(v)/1-tan(u)tan(v)

New cards
24

tan(u-v)

= tan(u)-tan(v)/1+tan(u)tan(v)

New cards
25

sin2(u)

= 2sin(u)cos(u)

New cards
26

tan2(u)

= 2tan(u)/1-tan(u)^2

New cards
27

cos2(u)

cos^2(u)-sin^2(u) OR 2cos^2(u)-1 OR 1-2sin^2(u)

New cards
28

θ

full angle

New cards
29

θ/2

half angle

New cards
30

The + or - depends on the __ in which θ/2 lies

quadrant

New cards
31

sin θ/2

± √ (1 - cosθ)/2

New cards
32

cos θ/2

± √(1 + cos θ)/2

New cards
33

tan θ/2

±√(1-cosθ)/(1+cosθ)

New cards

Explore top notes

note Note
studied byStudied by 17 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 203 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 12 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 13 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 14 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 2871 people
Updated ... ago
4.9 Stars(26)
note Note
studied byStudied by 7 people
Updated ... ago
4.0 Stars(1)
note Note
studied byStudied by 12 people
Updated ... ago
5.0 Stars(1)

Explore top flashcards

flashcards Flashcard41 terms
studied byStudied by 2 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard50 terms
studied byStudied by 18 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard30 terms
studied byStudied by 7 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard125 terms
studied byStudied by 8 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard84 terms
studied byStudied by 2 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard20 terms
studied byStudied by 4 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard160 terms
studied byStudied by 13 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard26 terms
studied byStudied by 63 people
Updated ... ago
5.0 Stars(4)