zarkam21:
help
zarkam21:
B
Vocaloid:
yeah good
zarkam21:
B
Vocaloid:
awesome
zarkam21:
5
Vocaloid:
awesome
zarkam21:
D
Vocaloid:
hm, that doesn't look like a tan graph, it has the distinctive periodic motion of a sin or cos that's been shifted down and/or horizontally a bit, any other ideas?
zarkam21:
C
Vocaloid:
awesome
zarkam21:
A
Vocaloid:
hm, the regular sec(x) and csc(x) have range (-infinity,-1) U (1,infinity) so there must be some shift to the sec or csc function to produce the range in the problem, any thoughts on how you could change (-infinity,0) U (2,infinity)
Vocaloid:
what happens if we take the range (-infinity,-1) U (1,infinity) and "shift it up" by adding 1? what's the new range?
zarkam21:
either c or d
zarkam21:
because it is shifting up one
Vocaloid:
think about the range of a typical cos vs csc function, which one better matches the description in the problem?
zarkam21:
D
zarkam21:
NO actually c
Vocaloid:
the range of cos is typically (-1,1) so that wouldn't quite work, it has to be the csc function (answer C)
zarkam21:
D
Vocaloid:
awesome
zarkam21:
A
Vocaloid:
hm, that's not quite right, you can think about this question graphically by looking at a sec graph or finding the possible values when 1/cos(x) = 0
zarkam21:
D
Vocaloid:
awesome
zarkam21:
D
Vocaloid:
hm. not quite period = 2pi/b where b is the coefficient of x what does b have to be for 2pi/b to equal 2?
Vocaloid:
you might be overthinking this a bit, you just need to solve 2pi/b = 2 for b
Vocaloid:
multiplying both sides by b gives us 2pi = 2b b = ?
zarkam21:
3.14
Vocaloid:
good, or pi, so the coefficient of x needs to be pi, which is the only choice that has this?
zarkam21:
A
Vocaloid:
check the answer choices again, which one has pi*x inside the trig function
zarkam21:
ugh
zarkam21:
um c
Vocaloid:
|dw:1521734448012:dw|
zarkam21:
acutally b ?
Vocaloid:
|dw:1521734454162:dw|
Vocaloid:
good, B
zarkam21:
A
zarkam21:
A
Vocaloid:
cos(x + pi/2) is a shift to the left not right as a hint, which function has the same domain + range as cos?
zarkam21:
B
zarkam21:
Actually sin
zarkam21:
@Vocaloid
Vocaloid:
yup sin is right
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