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Mathematics 58 Online
zarkam21:

Help

zarkam21:

1 attachment
zarkam21:

B

Vocaloid:

yeah good

zarkam21:

1 attachment
zarkam21:

B

Vocaloid:

not quite, reflection across y would be cos(-x) not -cos(x)

zarkam21:

A

zarkam21:

Ugh I'm confused

Vocaloid:

just compare 3cos(x) and cos(x) what does multiplying 3 by the entire function do to cos(x)?

zarkam21:

C

Vocaloid:

good, a vertical stretch by 3 so C is the only possibility

zarkam21:

1 attachment
Vocaloid:

any ideas/thoughts so far? it's good to get a mental image of what these graphs look like so you can at least eliminate a few possibilities

Vocaloid:

like, only cot(x) and tan(x) have that swoopy line pattern [very scientific i know] so between cot(x) and -tan(x) which one matches the graph?

zarkam21:

cot

Vocaloid:

good, so A

zarkam21:

1 attachment
zarkam21:

C

Vocaloid:

that's a good guess but not quite, the 3 is multiplied so its stretching the cos not shifting it as a hint pay attention to what pi is doing, is it shifting it up or down?

Vocaloid:

you can re-write the function as -3cos(x-2) + pi if that makes it easier

Vocaloid:

welp the site's back on

zarkam21:

Down?

Vocaloid:

yeah the site went down for like a minute anyway, made any progress on this q yet?

zarkam21:

No I meant down,, as for the answer =) ;p

Vocaloid:

oh since we're adding pi the shift would be up not down so A

zarkam21:

1 attachment
zarkam21:

1

Vocaloid:

well done

zarkam21:

What is a period for the secant function? (Answer in radians)

Vocaloid:

hint - period of sec is the same as the period of cos which is...?

zarkam21:

2pi

Vocaloid:

awesome so 2pi = your ans

zarkam21:

1 attachment
zarkam21:

B

Vocaloid:

good

zarkam21:

1 attachment
zarkam21:

period

Vocaloid:

good

zarkam21:

1 attachment
zarkam21:

B

Vocaloid:

awesome

zarkam21:

1 attachment
zarkam21:

D

Vocaloid:

yup well done

zarkam21:

1 attachment
zarkam21:

B

Vocaloid:

yup well done

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