Exam 3 Flashcards
1
Q
radio 0 degrees
A
0
2
Q
radian 30 degrees
A
pi/6
3
Q
radian 45 degrees
A
pi/4
4
Q
radian 60 degrees
A
pi/3
5
Q
radian 90 degrees
A
pi/2
6
Q
sin0
A
0
7
Q
sin 30
A
1/2
8
Q
sin 45
A
sqrt2/2
9
Q
sin 60
A
sqrt3/2
10
Q
sin 90
A
1
11
Q
cos 0
A
1
12
Q
cos 30
A
sqrt 3/2
13
Q
cos 45
A
sqrt 2/2
14
Q
cos 60
A
1/2
15
Q
cos 90
A
0
16
Q
tan 0
A
0
17
Q
tan 30
A
sqrt3/3
18
Q
tan 45
A
1
19
Q
tan 60
A
sqrt 3
20
Q
tan 90
A
undef.
21
Q
3 Pythagorean Identities
A
sin²θ + cos²θ = 1
1 + cot2x = csc2x
tan2x + 1 = sec2x
22
Q
secx =
A
1/cosx
23
Q
cscx =
A
1/sinx
24
Q
tanx =
A
sinx/cosx
25
cotx =
cosx/sinx, 1/tanx
26
Addition/Subtraction formulas: SINE
1. sin(a+b)= sinacosb + cosasinb
2. sin(a-b)= sinacosb-cosasinb
27
Addition/Subtraction formulas: COSINE
1. cos(a+b)= cosacosb - sinasinb
2. cos(a-b)= cosacosb + sinasinb
28
Addition/Subtraction formulas: TANGENT
1. tan(a+b)= (tana+tanb)/(1-tanatanb)
2. tan(a-b)= (tana-tanb)/(1+tanatanb)
29
double identity: SINE
sin(2x)= 2sincosx
30
double identity: COSINE
cos(2x)= cos2x-sin2x
31
double identity: TANGENT
tan(2x)= (2tanx)/1-tan2x, aka, (tanx+tanx)/1-tanxtanx
32
Half Angle: SINE
sin(u/2)= pos/neg square root of (1-cosu)/2
33
Half Angle: COSINE
cos(u/2)= pos/neg sqrt (1+cosu)/2
34
Half Angle: TANGENT
(1-cosu)/sinu, sinu/(1+cosu)
35
Power Reduction: COSINE
cos2x= 1/2(1+cos(2x))
36
Power Reduction: SINE
sin2x = 1/2 (1-cos(2x))
37
Power Reduction: TANGENT
tan2x = (1-cos2x)/(1+cos2x)
