Sine
The period of y = asin(bx)
What is 2pi/b ?
What is [-1,1]?
The 1 full period of Cotangent and Tangent.
What is pi ?
What is sin x?
The amplitude of y = a sin
What is |a| ?
The five key points: the intercepts, max points, and min points of y = cos x.
What are (0,1), (pi/2,0), (pi, -1), (3pi/2,0), (2pi,1) ?
The vertical asymptotes of tangent
what is x = pi/2 +npi when n is an integer?
What the y = sec x graph has where cos x = 0.
What are vertical asymptotes?
The period and amplitude of y=2sin(5x)
What are 2pi/5 and 2?
The type of cosine function and its symmetry.
What are even function and y-axis symmetry?
The period and amplitude of y=3 cot(pix)
What are 1 and 3?
The type of csc function and its symmetry.
What is odd function and origin symmetry?
The relationship between the graphs of f and g. (Consider amplitude, period, and shifts)
f(x) = sin x
g(x) = 2 + sin (3x +pi/3)
What are horizontal shift pi/3 to the left, period change to pi/3, and vertical shift 2 units up?
The translated equation of y=cos(x) when amplitude is 3 and moved 4 units to the left.
what is y = 3cos(x+4)?
The five key coordinates for
y= 3tan(theta - 3pi/4) .
Simplify the points.
What are (pi/4, UND), (3pi/4,0), (pi/2,-3), (pi,3) and (5pi/4, UND) ?
The five key coordinates for
y= sec (theta/4).
Simplify the points.
What are (0,1), (2pi,0), (4pi,-1), (6pi,0), and (8pi,1)?
The five key coordinates for
y= 3sin(2theta +pi/3) +2 .
Simplify the points.
What are (-pi/6, 2), (pi/12,5), (pi/3 ,2), (7pi/12,-1), (5pi/6, 2)?
The five key coordinates for
y= 2cos(2theta +2pi/3) +1 .
Simplify the points.
What are (-pi/3,3), (-pi/12,1), (5pi/12,1), (2pi/3,3) (pi/6,-1)?
The five key coordinates for
y= cot(2theta) +1 .
Simplify the points.
What are (0, UND), (pi/4,1), (pi/8, 2), (3pi/8,0), (pi/2, UND)?
The five key coordinates for
y= 2csc(theta - pi/2) -2 .
Simplify the points.
What are (pi/2, -2), (pi,0), (3pi/2, -2), (2pi,-4), (5pi/2,-2) ?