Question

Convert the polar coordinates below to Cartesian coordinates. Give exact answers.

(1, 7pi/6)

Answer 1

I'm not sure why, but I cannot solve this one. the answers I originally got were -.5 and -.87, but both were incorrect.

Answer 2

\[\theta =\frac{7\pi}{6}\] is the diagonally opposite point on the unit circle from \[\theta = \frac{\pi}{6}\]so we can just flip the signs on the \((x,y)\) after finding it in more familiar territory:

Answer 3

cool :)
r=1=x^2+y^2
tan theta=y/x

Answer 4

\[x = -r \sin \frac{\pi}{6} = -(1)(\frac{1}{2}) = -\frac{1}{2}\]\[y = -r\cos \frac{\pi}{6} = -1\frac{\sqrt{3}}{2} = -\frac{\sqrt{3}}{2}\]

I do note that the problem says exact answers, which your decimal isn't for the second part.

Answer 5

but it appears to me that you understand the concept correctly. hard to get too worked up about an error that doesn't reflect a lack of understanding of the underlying problem.

Answer 6

Thank you. Turns out my homework didn't like the decimal form!