ch10 graphing trigonometric functions Flashcards
what’s a periodic function?
a function whose value repeats at constant intervals. the length of this function is called a period.
how do you graph y=sin(x)?
middle, up, middle, down.
how do you graph y=cos(x)?
up, middle, down, middle.
how do you graph y=csc(x)?
graph sin first, then make asymptotes at “middle” values.
how do you graph y=sec(x)?
graph cos first, then make asymptotes at “middle” values.
what are the periods of sin, cos, csc, and sec?
2pi
what are the x values of sin, cos, csc, and sec?
0, pi/2, pi, 3pi/2, 2pi.
how do you graph y=tan(x)?
down, middle, up.
how do you graph y=cot(x)?
up, middle, down.
what are the periods of tan and cot?
pi
what are the x values of tan and cot?
-pi/2, -pi/4, 0, pi/4, pi/2.
y=2tan(x)
tan with a vertical stretch of 2
y=sin(x)+3
sin, up 3
y=cos(2x)
cos with a horizontal shrink of 2
y=sin(x-pi/3)
sin, right pi/3
write “y=3cos(2x-2pi)-1” in standard form.
y=3cos2(x-pi)-1
rewrite “y=2-4csc(x/2-pi)” in standard form.
y=-4csc1/2(x-2pi)+2