Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
The polar coordinate of given cartesian coordinate (-6, -1) is
(6.08, 0.0523π)
In this question,
We have been given the cartesian coordinate (-6, -1)
We need to convert given cartesian coordinate to polar coordinates.
We know that the polar coordinates is of the form (r, θ)
where, r is the magnitude with r = [tex]\sqrt{x^{2}+ y^{2} }[/tex]
and θ is the angle associated with the coordinates which is given by θ = [tex]tan^{-1}(\frac{y}{x} )[/tex]
The magnitude of the given polar coordinate is,
⇒ r = [tex]\sqrt{x^{2}+ y^{2} }[/tex]
⇒ r = [tex]\sqrt{(-6)^{2}+ (-1)^{2} }[/tex]
⇒ r = [tex]\sqrt{36+ 1}[/tex]
⇒ r = [tex]\sqrt{37}[/tex]
⇒ r = 6.08
And the angle associated with the coordinate is,
⇒ θ = [tex]tan^{-1}(\frac{-1}{-6} )[/tex]
⇒ θ = [tex]tan^{-1}(0.167 )[/tex]
⇒ θ = 9.48°
⇒ θ = 0.0523π
So, the polar coordinate is (6.08, 0.0523π)
Therefore, the polar coordinate of given cartesian coordinate (-6, -1) is
(6.08, 0.0523π)
Learn more about the polar coordinates here:
https://brainly.com/question/16034289
#SPJ4
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
