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Mathematics 8 Online
OpenStudy (kittiwitti1):

SOLVED! A ♦ Use the graph of y = tan x to find all values of x, 0 ≤ x ≤ 2π, for which the following is true. (Enter your answers as a comma-separated list.) • tan x is undefined ♣ SOLVED ♣ B ♦ Use the graph of y = sec x to find all values of x, 0 ≤ x ≤ 2π, for which the following is true. (Enter your answers as a comma-separated list.) • sec x = 1 ♣ SOLVED ♣ C ♦ Use the graph of y = csc x to find all values of x, 0 ≤ x ≤ 2π, for which the following is true. (Enter your answers as a comma-separated list.) • csc x is undefined ♣ SOLVED ♣ D ♦ http://prntscr.com/8xq6g4 ♣ SOLVED ♣ E ♦ http://prntscr.com/8xqahi ♣ SOLVED ♣

zepdrix (zepdrix):

Part A: One full cycle is completed in 2pi/9. So you're trying to construct a sine function, \(\large\rm \sin(bx)\), where \(\large\rm b=\frac{2\pi}{period}\)

zepdrix (zepdrix):

Oh you figure them all out? c:

OpenStudy (kittiwitti1):

No lol

OpenStudy (kittiwitti1):

I tried ... so:\[b=\frac{2\pi}{period}=\frac{2\pi}{\frac{2\pi}{9}}?\]

zepdrix (zepdrix):

looks good :) simplify!

OpenStudy (kittiwitti1):

o-o uh... 9? lol

OpenStudy (kittiwitti1):

I feel like that's wrong

zepdrix (zepdrix):

yay good job \c:/

OpenStudy (kittiwitti1):

0.0

OpenStudy (kittiwitti1):

Okay... I have another one (posted above)

zepdrix (zepdrix):

Any ideas? :) Sine or cosine maybe? and what's the period?

zepdrix (zepdrix):

and what's the amplitude?

OpenStudy (kittiwitti1):

6cos(bx)

OpenStudy (kittiwitti1):

period appears to end somewhere between 2pi/5 and 3pi/5

zepdrix (zepdrix):

The period will return you to the same location that you started at. So if you're starting at the top, then the end of your period will be at the top as well.

OpenStudy (kittiwitti1):

Oh. Right... ^^;

OpenStudy (kittiwitti1):

So then 3pi/5

zepdrix (zepdrix):

Hmm looks like the curve is at the `bottom` at 3pi/5, ya? :o Not the top as we're looking for.

OpenStudy (kittiwitti1):

Yes :p

zepdrix (zepdrix):

So, no, not 3pi/5 for period.

zepdrix (zepdrix):

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