Question

Help! I have tried several times to figure out this question on coordinates and turning counter clockwise from the x axis. My professors notes indicate I’m way off!

Answer 1

Given,

The coordinates (-5,-1.3)

To find

The polar coordinates,

Explanation

The polar coordinates are written in the form

$(r,\theta)$

Thus,

$r=\sqrt{(-5)^2-(-1.3)^2}=5.16$$\begin{gathered} \theta=tan^{-1}(-\frac{-1.3}{-5}) \\ \Rightarrow\theta=-14.57^o \\ \Rightarrow\theta=360-14.57=345.43^o \end{gathered}$

Conclusion

The polar coordinates are

$(5.16,345.43)$