Embed Size (px)
Citation preview
Graphing Sine and Cosine
Video
Graphing CalculatorMode—
RadiansParSimul
• Window—– X min = -1– X max = 2– X scale = /2
• Window—– Y min = -3– Y max = 3– Y scale = 1
• Window—– T min = 0– T max = 2– T step = .1
Press Y=x1T = cos (T)
y1T = sin (T)
x2T = T
y2T = sin (T)
Press Graph
Using the Graphing CalculatorMode—
RadiansFunctionSequential
• Window—– X min = -1– X max = 2– X scale = /2
• Window—– Y min = -10– Y max = 10– Y scale = 1
Press Y=y1 = sin (X)
y2 = 3sin (X)
Press Graph
Press Y=y1 = sin (X)
y2 = 4sin (X)
Press Graph
Press Y=y1 = sin (X)
y2 = -4sin (X)
Press Graph
Press Y=y1 = sin (X)
y2 = sin (X) +1
Press Graph
Press Y=y1 = sin (X)
y2 = sin (X) -2
Press Graph
Press Y=y1 = sin (X)
y2 = sin (X - )
Press Graph
Press Y=y1 = sin (X)
y2 = sin (X – 1/2)
Press Graph
Press Y=y1 = sin (X)
y2 = sin (2X)
Press Graph
Press Y=y1 = sin (X)
y2 = sin (2X)
Press Graph
Press Y=y1 = sin (X)
y2 = sin (1/2x)
Press Graph
Y = A sin (Bx ± C) ± D
Amplitude
Period Change
2 |b|
Vertical Shift up/down
Horizontal ShiftLeft/Right
C B
Examples--Y = 3sin (x + ) -3
A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = cos (x - 2)
A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = -2sin (2x)A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = -½ cos (½ x) + 1A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = -2 sin (2x + 3)A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = ½ cos (3x +) + 1A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
End of day 1
Honors Trig– HW Page 176 (1-26 all)Reg. Trig– HW Page 136 (1-22 all)
Graphing Sine CurveY = sin (x)
0
/6
/4
/3
/2
2/3
3/4
5/6
7/6
5/4
4/3
3/2
5/3
7/4
11/6
2
Graphing Cosine CurveY = cos (x)
0
/6
/4
/3
/2
2/3
3/4
5/6
7/6
5/4
4/3
3/2
5/3
7/4
11/6
2
Graphing by Key PointsY = 2 sin x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = -2 cos x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = sin 4x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/4, )(/2, )
(3/4, )
(, )
Graphing by Key PointsY = 3 cos 1/2x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(, )
(2, )
(3, )
(4, )
Graphing by Key PointsY = 2 sin x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = sin x +2
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = sin (x - /4)
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = cos (x + )
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = 4sin (x/2 + /2)
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = -cos (x - 1/3)
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = 2sin (x/2 - /2) -3
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Honors Trig– HW Page 176 (27-44 all)
Regular Trig– HW Page 137 (23-44 all)
