graphing sine and cosine. graphing calculator mode— radians par simul window— –x min = -1 –x...
TRANSCRIPT
Graphing Sine and Cosine
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 = - – X max = 3– X scale = /6
• Window—– Y min =-3– Y max = 3– Y scale = .5
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 +1)
Press Graph
Press Y=y1 = sin (X)
y2 = sin (X -1)
Press Graph
Press Y=y1 = sin (X)
y2 = sin (X -1)
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|A|
Period 2 |B|
Vertical Shift up/down
Horizontal ShiftLeft/Right
C B
Y = A cos (Bx - C) ± D
Amplitude|A|
Period 2 |B|
Vertical Shift up/down
Horizontal ShiftLeft/Right
C B
Examples--y = 3sin (x + 1) -3
Amp.= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = cos (x - 2) Amp.= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = sin (2x)Amp.= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = ½ cos (½ x) + 1 Amp.= _______
Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = 2 sin (2x + 3)Amp.= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = ½ cos (3x +1) + 1Amp.= _______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 Curve y = 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
y = A sin (Bx – C) + D
InterceptMaximumInterceptMinimumIntercept
Unless A = Negative #InterceptMinimumInterceptMaximumIntercept
y = A cos (Bx – C) + D
MaximumInterceptMinimumInterceptMaximum
Unless A = Negative #MinimumInterceptMaximumInterceptMinimum
Graphing by Key Pointsy = 2 sin x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/2, )
(, )
(3/2, )
(2, )
Graphing by Key Pointsy = -2 cos x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/2, )
(, )
(3/2, )
(2, )
Graphing by Key Pointsy = sin 4x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/8, )
(/4, )
(3/8, )
(/2, )
Graphing by Key Pointsy = 3 cos 1/2x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(, )
(2, )
(3, )
(4, )
Graphing by Key Pointsy = 3 sin x +2
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/2 )
(, )
(3/2, )
(2, )
Graphing by Key Pointsy = sin x +2
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/2 )
(, )
(3/2, )
(2, )
Graphing by Key Pointsy = cos (x + )
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(-, )(-/2 )
(0, )
(/2, )
(, )
Graphing by Key Pointsy = sin (x - /4)
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(/4 , )(3/4, )
(5/4, )
(7/4, )
(9/4, )
Graphing by Key Pointsy = 4sin (x/2 + /2)
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(-, )(0, )
(, )
(2, )
(3, )
Graphing by Key Pointsy = -cos x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(1/2, )
(1, )
(3/2, )
(2, )
Graphing by Key Pointsy = 2sin (x/2 - /2) -1
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(, )(2, )
(3, )
(4, )
(5, )
Honors Trig– HW Page 176 (27-44 all)
Regular Trig– HW Page 137 (23-44 all)