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Mathematics 27 Online
OpenStudy (anonymous):

Find all values of x in the interval [0, 2π) that solve cos^3x / sinx = cotx.

OpenStudy (anonymous):

Any idea?

OpenStudy (anonymous):

I know how solve the problem, I just need to know what the interval thing means

OpenStudy (anonymous):

Show your work, please

OpenStudy (anonymous):

http://prntscr.com/3y6d1t

OpenStudy (anonymous):

Just need to know what the interval thing means

OpenStudy (anonymous):

sinx can't be 0

OpenStudy (anonymous):

Ok. What does the interval thing mean?

OpenStudy (anonymous):

the solution is not right

OpenStudy (anonymous):

I'm not looking for the answer

OpenStudy (anonymous):

I want to know what the interval thing means

OpenStudy (anonymous):

|dw:1404177948083:dw|

OpenStudy (anonymous):

2kπ?

OpenStudy (anonymous):

same as 2πn?

OpenStudy (anonymous):

You're telling me a text book is wrong?

OpenStudy (anonymous):

http://prntscr.com/3y6f6h

OpenStudy (anonymous):

nothing is conflict. That is the same with my logic

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

You still have me confused on the interval thing...

OpenStudy (anonymous):

you get cos x =0 --> x = pi/2 and 3pi/2 . If you don't have that interval, then, the perfect solution is x = \(\dfrac {\pi}{2}+2\pi n\) or x = \(\dfrac {3\pi}{2}+2\pi n\) However, your interval restricts the \(2\pi n\) part, then it is just \(\pi/2\) or \(3\pi/2\)

OpenStudy (anonymous):

|dw:1404178492318:dw|

OpenStudy (anonymous):

|dw:1404178540761:dw|

OpenStudy (anonymous):

|dw:1404178590838:dw|

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