convert d to radians because sin and cos only accept radians
30
Expression 31: "t" equals "d" times StartFraction, pi Over 180 , EndFractiont=d·π180
equals=
5.4 9 7 7 8 7 1 4 3 7 85.49778714378
31
TIP:
32
AT 45 DEGREES:
33
they meet
34
At 225 DEGREES:
35
they meet
36
Expression 37: cosine left parenthesis, "t" , right parenthesiscost
equals=
0.7 0 7 1 0 6 7 8 1 1 8 70.707106781187
37
Expression 38: sine left parenthesis, "t" , right parenthesissint
equals=
- 0.7 0 7 1 0 6 7 8 1 1 8 7-0.707106781187
38
if you turn on the circle below this text (40) you will see the exactly where they meet
39
Degrees
Hide this folder from students.
40
the green is where sin and cos meet
41
45: left parenthesis, .8 , .7 , right parenthesis.8,.7
Label:
42
Expression 43: left parenthesis, "x" minus .8 , right parenthesis squared plus left parenthesis, "y" minus .7 , right parenthesis squared less than or equal to .0 8x−.82+y−.72≤.08
43
Expression 44: left parenthesis, "x" minus 1.5 7 , right parenthesis squared plus left parenthesis, "y" , right parenthesis squared less than or equal to .0 8x−1.572+y2≤.08
44
90 left parenthesis, 1.5 7 , 0 , right parenthesis1.57,0
Label:
45
Expression 46: left parenthesis, "x" minus left parenthesis, 45 times 3 , right parenthesis times StartFraction, pi Over 180 , EndFraction , right parenthesis squared plus left parenthesis, "y" , right parenthesis squared less than or equal to .0 8x−45·3·π1802+y2≤.08
46
135: left parenthesis, 2.3 6 , 0 , right parenthesis2.36,0
Label:
47
Expression 48: left parenthesis, "x" minus left parenthesis, 45 times 4 , right parenthesis times StartFraction, pi Over 180 , EndFraction , right parenthesis squared plus left parenthesis, "y" , right parenthesis squared less than or equal to .0 8x−45·4·π1802+y2≤.08
48
180: left parenthesis, 3.1 5 , 0 , right parenthesis3.15,0
Label:
49
Expression 50: left parenthesis, "x" minus 45 times 5 StartFraction, pi Over 180 , EndFraction , right parenthesis squared plus left parenthesis, "y" minus sin left parenthesis, negative .7 8 , right parenthesis , right parenthesis squared less than or equal to .0 8x−45·5π1802+y−sin−.782≤.08
50
225: left parenthesis, 3.9 2 5 , sin left parenthesis, 707 times left parenthesis, 45 times 5 , right parenthesis times StartFraction, pi Over 180 , EndFraction , right parenthesis , right parenthesis3.925,sin707·45·5·π180
Label:
equals=
left parenthesis, 3.9 2 5 , negative 0.7 0 7 1 0 6 7 8 , right parenthesis3.925,−0.70710678
51
Expression 52: left parenthesis, "x" minus left parenthesis, left parenthesis, 45 times 6 , right parenthesis StartFraction, pi Over 180 , EndFraction , right parenthesis , right parenthesis squared plus left parenthesis, "y" , right parenthesis squared less than or equal to .0 8x−45·6π1802+y2≤.08
52
270: left parenthesis, 45 times 6 times StartFraction, pi Over 180 , EndFraction , 0 , right parenthesis45·6·π180,0
Label:
equals=
left parenthesis, 4.7 1 2 3 8 8 9 8 , 0 , right parenthesis4.71238898,0
53
Expression 54: left parenthesis, "x" minus 45 times 7 StartFraction, pi Over 180 , EndFraction , right parenthesis squared plus left parenthesis, "y" , right parenthesis squared less than or equal to .0 8x−45·7π1802+y2≤.08
54
360: left parenthesis, 45 times 7 times StartFraction, pi Over 180 , EndFraction , 0 , right parenthesis45·7·π180,0
Label:
equals=
left parenthesis, 5.4 9 7 7 8 7 1 4 , 0 , right parenthesis5.49778714,0