Mathematics
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zarkam21:
True?
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zarkam21:
zarkam21:
Actually just checked its false
Vocaloid:
as a hint, cscx has its asymptotes when sinx = 0
does x = pi/2 + npi describe the zeros of sin or cos?
Vocaloid:
right, it's false, that would be the domain of sec not csc
zarkam21:
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zarkam21:
C
Vocaloid:
good
zarkam21:
zarkam21:
B
Vocaloid:
not quite
you have to look up/sketch these/memorize these
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zarkam21:
C
Vocaloid:
good
zarkam21:
zarkam21:
A and B
Vocaloid:
check again
hint: is cos or sin even?
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zarkam21:
Um Cos
zarkam21:
right
zarkam21:
@Vocaloid
Vocaloid:
good, and if cos is even, 1/cos must also be even, making which two functions in the problem even?
zarkam21:
C and D
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zarkam21:
because of that
Vocaloid:
sin is not even
Vocaloid:
which trig function is equal to 1/cos?
zarkam21:
A
Vocaloid:
good so A + C = your answer
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zarkam21:
zarkam21:
C
Vocaloid:
well done
zarkam21:
zarkam21:
D
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Vocaloid:
not quite, cot would be the inverse
zarkam21:
B
Vocaloid:
good
zarkam21:
zarkam21:
B D C
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Vocaloid:
hint - sec(x) = 1/cos(x)
and it has the same period as cos(x), what would that be?
zarkam21:
A
Vocaloid:
cos(x) and sin(x) have periods of 2pi (you really need to know this)
so only tan and cot have periods of pi
zarkam21:
zarkam21:
Asymptotes
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Vocaloid:
good
zarkam21:
zarkam21:
B and C
Vocaloid:
|dw:1520960061288:dw|
Vocaloid:
is the range of sec(x) all real numbers?
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zarkam21:
No
Vocaloid:
good, so looking at your question, which answer(s) do you think it might be? I would recommend looking at all the graphs carefully before answering
zarkam21:
cot and tan
Vocaloid:
awesome
zarkam21:
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zarkam21:
C
Vocaloid:
good