Graphs of Sine and Cosine

y = asinx or y = acosx

100

y=4cosx

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

200

y=-3sinx

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	0
π/2	-3
π	0
3π/2	3
2π	0

300

y=-5cosx

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	-5
π/2	0
π	5
3π/2	0
2π	-5

400

y=(-3/4)cosx

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

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

500

y=(2/3)sinx

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	0
π/2	2/3
π	0
3π/2	-2/3
2π	0

y = sinbx or y = cosbx

100

y=sin3x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	0
π/6	1
π/3	0
π/2	-1
2π/3	0

200

y=cos4x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	1
π/8	0
π/4	-1
3π/8	0
π/2	1

300

y=sin(2/3)x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	0
π/6	1
π/3	0
π/2	-1
3π	0

400

y=sin(&#960/4)x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	0
2	1
4	0
6	-1
8	0

500

y=cos(&#960/2)x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	1
(1/2)	0
1	-1
3/2	0
2	1

y = asinbx or y = acosbx

100

y=2sin3x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	0
π/6	2
π/3	0
π/2	-2
(2π)/3	0

200

y=(1/3)cos5x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	1/3
π/10	0
π/5	-1/3
3π/10	0
(2π)/5	1/3

300

y=(3/2)cos(1/2)x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

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

400

y=-2sin&#960x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

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

500

y=(5/2)sin(&#960/4)x

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
0	0
2	5/2
4	0
6	-5/2
8	0

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

100

y=cos(x+&#960)

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
π	1
3π/2	0
2π	-1
5π/2	0
3π	1

200

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

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

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

300

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

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
-π/3	-1
-π/6	0
0	1
π/6	0
π/3	-1

400

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

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
π/4	0
3π/8	4
π/2	0
5π/8	-4
3π/4	0

500

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

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
-π/6	-3
π/12	0
π/3	3
7π/12	0
5π/6	-3

y = asinb(x-d) ory = acosb(x-d)

100

y=2+3sin4(x-&#960/4)

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
π/4	2
3π/8	5
π/2	2
5π/8	-1
3π/4	2

200

y=-4-cos2(x+&#960/2)

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
-π/2	-5
-π/4	-4
0	-3
π/4	-4
π/2	-5

300

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

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
-π/3	1
-π/6	3
0	5
π/6	3
π/3	1

400

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

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
π/2	2/3
3π/4	14/3
π	2/3
5π/4	-10/3
3π/2	2/3

500

y=(-4/3)+(1/2)sin((1/2)x+2&#960)

.tg {border-collapse:collapse;border-spacing:0;border-color:#aaa;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 20px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#aaa;color:#fff;background-color:#f38630;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-yq6s{background-color:#FCFBE3;text-align:center;vertical-align:top}

Angle Measure	Value
-4π	-4/3
-3π	-5/6
-2π	-4/3
-π	-11/6
0	-4/3