trig identities and equations
4.5(2)
Studied by 113 people
Learn
Practice Test
Spaced Repetition
Match
FlashcardsCard Sorting
1/32
Earn XP
Study Analytics
Name | Mastery | Learn | Test | Matching | Spaced |
|---|
No study sessions yet.
33 Terms
1
New cards
sin^2x+cos^2x
=1
2
New cards
cos^2x-sin^2x
=cos2x
3
New cards
1+cot^2x
=csc^2x
4
New cards
tan^2x+1
=sec^2x
5
New cards
sinx
=1/cscx
6
New cards
cosx
=1/secx
7
New cards
tanx
=1/cotx
8
New cards
cos(-x)
=cosx
9
New cards
sec(-x)
=secx
10
New cards
tan(-x) or -tanx
=sin(-x)/cos(-x)
11
New cards
even
cosx, secx
12
New cards
odd
sinx, cscx, tanx, cotx
13
New cards
sin(pi/2-x)
=cosx
14
New cards
cos(pi/2-x)
=sinx
15
New cards
tan(pi/2-x)
=cotx
16
New cards
csc(pi/2-x)
=secx
17
New cards
sec(pi/2-x)
=cscx
18
New cards
cot(pi/2-x)
=tanx
19
New cards
sin(u+v)
= sin(u)cos(v) + cos(u)sin(v)
20
New cards
sin(u-v)
= sin(u)cos(v)-cos(u)sin(v)
21
New cards
cos(u+v)
= cos(u)cos(v)-sin(u)sin(v)
22
New cards
cos(u-v)
= cos(u)cos(v) + sin(u)sin(v)
23
New cards
tan(u+v)
= tan(u)+tan(v)/1-tan(u)tan(v)
24
New cards
tan(u-v)
= tan(u)-tan(v)/1+tan(u)tan(v)
25
New cards
sin2(u)
= 2sin(u)cos(u)
26
New cards
tan2(u)
= 2tan(u)/1-tan(u)^2
27
New cards
cos2(u)
cos^2(u)-sin^2(u) OR 2cos^2(u)-1 OR 1-2sin^2(u)
28
New cards
θ
full angle
29
New cards
θ/2
half angle
30
New cards
The + or - depends on the __ in which θ/2 lies
quadrant
31
New cards
sin θ/2
± √ (1 - cosθ)/2
32
New cards
cos θ/2
± √(1 + cos θ)/2
33
New cards
tan θ/2
±√(1-cosθ)/(1+cosθ)
Note 
Flashcards (63)