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Mathematics 6 Online
OpenStudy (anonymous):

help please open study. problem and my solution is attached in the post

OpenStudy (anonymous):

OpenStudy (perl):

open study warriors?

OpenStudy (anonymous):

OpenStudy (anonymous):

@perl

OpenStudy (anonymous):

there are 2 attachments. one is the problem, the other is how i worked the problem. is my work correct?

OpenStudy (perl):

my computer is freezing and glitching out

OpenStudy (perl):

your attachment is blank

OpenStudy (anonymous):

can you see my attachments?

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (swissgirl):

ohh neat handwriting :)

OpenStudy (anonymous):

thank you

jimthompson5910 (jim_thompson5910):

the given point is (11,-11) but none of the answer choices are correct. So I'm thinking there's a typo that is the teacher's fault.

OpenStudy (anonymous):

may i see how you worked the problem? the way i worked the problem, i got B) for an answer. i just dont know if that is correct.

jimthompson5910 (jim_thompson5910):

you got r = 11*sqrt(2) correct

jimthompson5910 (jim_thompson5910):

however, the angle theta is incorrect

jimthompson5910 (jim_thompson5910):

theta = arctan(-11/11) theta = arctan(-1) theta = -pi/4

jimthompson5910 (jim_thompson5910):

that's what the answer is

jimthompson5910 (jim_thompson5910):

keep in mind that the range of arctan(x) is -pi/2 < y < pi/2

jimthompson5910 (jim_thompson5910):

so you're either in quadrant I or quadrant IV

OpenStudy (anonymous):

11,-11 is quandrant 3 at the beginning of the problem. also im not sure if your taking all the steps necessary. look at a similar example at the last couple of steps

OpenStudy (anonymous):

hold on imma upload similar example from book

jimthompson5910 (jim_thompson5910):

(11,-11) is in quadrant 4

OpenStudy (anonymous):

oh ur right. i see now, i apologize

jimthompson5910 (jim_thompson5910):

thats ok

OpenStudy (anonymous):

but i still think you are skipping a step. im aiting on a email from my phone to upload

OpenStudy (anonymous):

waiting*

OpenStudy (anonymous):

OpenStudy (anonymous):

see the last coiple steps i am referring to by the stars i drew on the problem

OpenStudy (anonymous):

(-1,sqrt3) were the original w,y coordinates for this problem

jimthompson5910 (jim_thompson5910):

they did that correctly

jimthompson5910 (jim_thompson5910):

notice how the point (-1, sqrt(3) ) and the angle 2pi/3 are both in quadrant 2

jimthompson5910 (jim_thompson5910):

however, with your problem, none of the angles are in quadrant IV

OpenStudy (anonymous):

that step is the same on a problem that lies in quadrant 4 as well, do you think that step needs to be applied to this problem?

jimthompson5910 (jim_thompson5910):

3pi/4 is in quadrant 2 3pi/4 radians = 135 degrees

jimthompson5910 (jim_thompson5910):

-3pi/4 radians is coterminal to 5pi/4 radians (add 2pi)

OpenStudy (anonymous):

will you "draw" your work for the tangent formula side of my problem please?

jimthompson5910 (jim_thompson5910):

5pi/4 radians = 225 degrees so the angle is in quadrant 3

jimthompson5910 (jim_thompson5910):

what do you mean?

OpenStudy (anonymous):

one moment for another attachment please

OpenStudy (anonymous):

OpenStudy (perl):

jim doesnt mind if i take over?

OpenStudy (perl):

what number?

OpenStudy (anonymous):

@jim_thompson5910 does that look correct?

jimthompson5910 (jim_thompson5910):

you are correct until you reach the point where you say 180 - 45 = 135 that rule of 180 - theta only works if you are in quadrant 2

OpenStudy (perl):

by the way, this is why i use the 4 quadrant arctangent function, called atan2

OpenStudy (anonymous):

ooh in q4 it should be 360?

jimthompson5910 (jim_thompson5910):

yeah if you want to find the reference angle in quadrant 4

jimthompson5910 (jim_thompson5910):

but the angle should be -pi/4 like you got or 7pi/4

jimthompson5910 (jim_thompson5910):

none of the answer choices have that

OpenStudy (perl):

this question has a typo

OpenStudy (perl):

the multiple choice typo :o

jimthompson5910 (jim_thompson5910):

yeah

OpenStudy (perl):

choose e. my teacher does not edit for typos

OpenStudy (perl):

that would be funny if that was a test

OpenStudy (perl):

one of the multiple choices

OpenStudy (anonymous):

dont say that, this makes the 7th freakin typo i found already

OpenStudy (perl):

e. none of the above : my teacher does not edit for typos

OpenStudy (anonymous):

this is on a scantron though, e wont be counted as an answer period

jimthompson5910 (jim_thompson5910):

well it's a typo, idk what else to tell you

OpenStudy (perl):

do you understand that -45 degrees = 360 + (-45) degrees ?

OpenStudy (perl):

|dw:1416201572773:dw|

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