Quiz 5.3/5.4 Concepts Vocab

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the max value of y=sin x is __ and occurs at x = ___

1; pi/2 + 2pi k, k any integer

the sine, cosine, cosecant and secant functions have period _______, the tangent and cotangent functions have period _______

2pi, pi

the function y = A sin (wx), A>0 has amplitude 3 and period 2, then A = _____ and w = _____

3; pi

the function y = 3cos (6x) has amplitude ___ and period ____

3; pi/3

the range of the sine function is ___________

[-1, 1]

the domain of the tangent function is _______

all real numbers except odd multiples of pi/2

t/f all trig functions are periodic with period 2 pi

f

t/f for y = 2 sin (pi x) the amplitude is 2 and the period is pi/2

f

t/f the range of the secant function is the set of positive real numbers

f

t/f the graph of the sine function has infinitely many x intercepts

t

t/f the graphs of y=sinx and y=cosx are identical excpt for a horizantal shift

t

t/f the only even trig functions are the cosine and secant functions

t


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