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Mathematics 7 Online
OpenStudy (kj4uts):

Which set of polar coordinates are plotted in the graph below?

OpenStudy (kj4uts):

OpenStudy (kj4uts):

OpenStudy (kj4uts):

The point looks to be at (1, -2) and according to the chart above it looks like the answer would be 5pi/3 or choice A.?

OpenStudy (kj4uts):

How would I solve this without using a graph?

OpenStudy (kj4uts):

How would I solve this without using a graph? Is this graph even right?

OpenStudy (jhannybean):

Polar coordinates are defined by \((r~,~ \theta)\) right?

OpenStudy (kj4uts):

yeah

OpenStudy (jhannybean):

You can think of it as quadrants, and then see which radian measurement falls in Q4, either clockwise or counterclockwise

OpenStudy (kj4uts):

oh ok

OpenStudy (jhannybean):

So let's start with the coterminal angle in Q1. what is the radian measure of an angle of \(30^\circ\)?

OpenStudy (kj4uts):

30 degrees is 0.52359878 radians

OpenStudy (jhannybean):

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OpenStudy (jhannybean):

label them all.

OpenStudy (jhannybean):

And i want it in radian measure, not decimal form.

OpenStudy (kj4uts):

the middle lines in between are 45 degrees right?

OpenStudy (jhannybean):

You have 3 choices for \(30^\circ\) in Q1, \(\dfrac{\pi}{3}~,~ \dfrac{\pi}{4}~,~ \dfrac{\pi}{6}\)

OpenStudy (jhannybean):

middle lines?

OpenStudy (jhannybean):

Before understanding polar coordinates you HAVE to know your unit circle. CW, and CCW.

OpenStudy (kj4uts):

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