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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!

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 Im way off class=

Respuesta :

Given,

The coordinates (-5,-1.3)

To find

The polar coordinates,

Explanation

The polar coordinates are written in the form

[tex](r,\theta)[/tex]

Thus,

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

Conclusion

The polar coordinates are

[tex](5.16,345.43)[/tex]