MHB Sketch the curve with the given polar equation. θ = −pi/6?

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The polar equation θ = -π/6 describes a straight line that passes through the origin and makes an angle of -π/6 with the polar axis. The line's orientation is confirmed to be similar to the backslash (\) direction. Participants agree on the line's characteristics and orientation based on the polar coordinates. The discussion clarifies the relationship between the angle and the line's slope. Overall, the key takeaway is the identification of the line's angle and direction in polar coordinates.
carl123
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Sketch the curve with the given polar equation. θ = −pi/6?

I know for certain that its a straight line that passes through the origin but what I'm not sure is if its like this \ or like this /
 
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This curve consists of all points $(r, \theta )$ such that the polar angle $\theta$ is $-\frac{\pi}{6}$.
It is the straight line that passes through the origin $O$ and makes an angle of $-\frac{\pi}{6}$ with the polar axis.
 
mathmari said:
It is the straight line that passes through the origin $O$ and makes an angle of $-\frac{\pi}{6}$ with the polar axis.

Thanks for your reply, by what you said, I'm assuming the line should be like this \ then
 
Yes. (Yes)
 
Ok, thanks
 
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