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1. At which values of x does the graph of f(x)=cos x intersect the x-axis? Select all that apply. (2 answers)
a. 0***
b. pi/2***
c. pi
d. 3pi/2
e. 2pi

2. Which of the following represents the domain and range of y=tan x?
a. domain: -infinity<x<infinity
range: -infinity<y<infinity, y does not =pi/2+n(pi), where n is an integer
b. domain: -infinity<x<infinity

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  1. please ignore the last question I meant to delete it:)

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  2. cosx = 0 for all odd multiples of pi/2

    a is wrong -- cos 0 = 1

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  3. Thank you Steve. Can you explain this question to me please?

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  4. huh? I thought I did. cos(x) oscillates between 1 and -1, with a period of 2pi.
    cos(0) = 1
    cos(pi/2) = 0
    cos(pi) = -1
    cos 3pi/2 = 0
    cos 2pi = 1
    and it repeats all over again. Note that cosx is zero at all odd multiples of pi/2

    So, you should have picked (b) and (d)

    If this still makes no sense, you really really need to review the trig functions!

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  5. It does make sense now. I just wasn't fully understanding, but this helps. Thank you so much Steve!!!

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