Sin & Cosine Transformations

Y=asinx or y=acosx

100

y=2sin x

table, th, td { border: 1px solid yellow; }

Angle Measure	Value
0	0
&#960/2	2
&#960	0
3&#960/2	-2
2&#960	0

200

y=-2cos x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	2
&#960/2	0
&#960	-2
3&#960/2	0
2&#960	2

300

y=1/2sin x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	0
&#960/2	1/2
&#960	0
3&#960/2	-1/2
2&#960	0

400

y=-1/2cos x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	-1/2
&#960/2	0
&#960	1/2
3&#960/2	0
2&#960	-1/2

500

y=-5/4sinx

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	0
&#960/2	-5/4
&#960	0
3&#960/2	5/4
2&#960	0

Y=sinbx or y=cosbx

100

Y=sin3x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	0
&#960/6	1
&#960/3	0
&#960/4	-1
2&#960/3	0

200

Y=cos4/3x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	1
3&#960/8	0
3&#960/4	-1
&#960/2	0
3&#960/2	1

300

Y=sin&#960x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	0
1/2	1
1	0
3/4	-1
2	0

400

Y=Cos5&#960x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	1
&#960/10	0
&#960/5	-1
3&#960/20	0
2&#960/5	1

500

y=sin2x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	0
&#960/4	1
&#960/2	0
3&#960/4	-1
&#960	0

Y=asinbx or y=acosbx

100

Y=2sin3x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	0
&#960/6	2
&#960/3	0
&#960/4	-2
2&#960/3	0

200

Y=-2cos4/3x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	-2
3&#960/8	0
3&#960/4	2
&#960/2	0
2&#960/3	-2

300

Y=1/2sin&#960x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	1/2
1/2	0
1	-1/2
3/4	0
2	1/2

400

y=-1cos5&#960x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	-1
&#960/10	0
&#960/5	1
3&#960/10	0
2&#960/5	-1

500

Y=-5/4sin2x

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
0	0
&#960/4	-5/4
&#960/2	0
3&#960/4	5/4
&#960	0

Y=asinb(x-d) or y=acosb(x-d)

100

y=2sin 3(x+&#960)

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
-&#960	0
-7&#960/6	2
-4&#960/3	0
-5&#960/6	-2
-&#960/3	0

200

y=3sin 2(x+&#960/3)

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
-&#960/3	0
0	3
&#960/3	0
&#960/2	-3
2&#960/3	0

300

y=3cos 2(x+&#960/4)

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
-&#960/4	3
0	0
&#960/4	-3
&#960/2	0
3&#960/4	3

400

y=-1/2sin &#960(x+&#960/4)

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
-&#960/4	0
5&#960/8	-1/2
3&#960/2	0
13&#960/8	1/2
7&#960/4	0

500

y=3/4cos &#960/2(x-3&#960/4)

table, th, td { border: 1px solid yellow; }            

Angle Measure	Value
3&#960/4	3/4
7&#960/4	0
11&#960/4	-3/4
15&#960/4	0
19&#960/4	3/4

y=c+asin [b(x-d)] or y=c+acos [b(x-d)]

100

y=2+sin2(x-&#960/2)

table, th, td { border: 1px solid yellow; }

Angle Measure	Value
&#960/2	2
3&#960/4	3
&#960	2
5&#960/4	1
3&#960/2	2

200

y=3-cos 4(x+&#960/4)

table, th, td { border: 1px solid yellow; }

Angle Measure	Value
-&#960/4	2
-&#960/8	3
&#960	4
&#960/8	3
&#960/4	2

300

y=-4-sin (2x+&#960)

table, th, td { border: 1px solid yellow; }

Angle Measure	Value
-&#960/2	-4
-&#960/4	-5
0	-4
&#960/4	-3
&#960/2	-4

400

y=4+sin&#960(x-&#960/2)

table, th, td { border: 1px solid yellow; }

Angle Measure	Value
&#960/2	4
7&#960/8	5
5&#960/4	4
15&#960/8	3
5&#960/2	4

500

y=-5+2cos (&#960x-2&#960)

table, th, td { border: 1px solid yellow; }

Angle Measure	Value
2	-3
5/2	-5
3	-7
7/2	-5
4	-3