Chapter 5 Flashcards
1
Q
tanθ
A
sinθ/cosθ
2
Q
cotθ
A
cosθ/sinθ
3
Q
sinθ
A
1/cscθ
4
Q
cosθ
A
1/secθ
5
Q
tanθ
A
1/cotθ
6
Q
cscθ
A
1/sinθ
7
Q
secθ
A
1/cosθ
8
Q
cotθ
A
1/tanθ
9
Q
1
A
sin2θ + cos2θ
sec2θ - tan2θ
csc2θ - cot2θ
10
Q
sin[(π/2) - θ]
A
cosθ
11
Q
cos[(π/2) - θ]
A
sinθ
12
Q
tan[(π/2) - θ]
A
cotθ
13
Q
csc[(π/2) - θ]
A
secθ
14
Q
sec[(π/2) - θ]
A
cscθ
15
Q
cot[(π/2) - θ]
A
tanθ
16
Q
sin(-θ)
A
-sinθ
17
Q
cos(-θ)
A
cosθ
18
Q
tan(-θ)
A
-tanθ
19
Q
csc(-θ)
A
-cscθ
20
Q
sec(-θ)
A
secθ
21
Q
cot(-θ)
A
-cotθ
22
Q
Verifying trigonometric identities
A
- work with one side at a time
- factor, add fractions, square a binomial
- fundamental identities
- convert all to sin cos
- try something
23
Q
sin(x+-y)
A
sinxcosy +- sinycosx
24
Q
cos(x+-y)
A
cosxcosy -+ sinxsiny
25
Q
tan(x+-y)
A
tanx+-tany / 1 -+ tanxtany
26
Q
2x
A
(x + x)
27
Q
sin2x
A
2sinxcosx
28
Q
cos2x
A
cos2x - sin2x
2cos2 - 1
1 - 2sin2x
29
Q
tan2x
A
2tanx / 1 - tan2x
30
Q
sin2x
A
1-cos2x/2
31
Q
cos2x
A
1+cos2x/2
32
Q
tan2x
A
1-cos2x/1+cos2x
33
Q
sinx/2
A
+-√1-cosx/2
sign depends on the quadrant u/2 lies in
34
Q
cosx/2
A
+-√1+cosx/2
sign depends on the quadrant u/2 lies in
35
Q
tanx/2
A
1-cosx/sinx = sinx/1+cosx
36
Q
Quadratic formula
A
-b±√b²-4ac/2a
