## Related questions with answers

Question

Convert the polar coordinates to Cartesian coordinates. Give exact answers. $( 1,2 \pi / 3 )$

Solution

VerifiedAnswered 4 months ago

Answered 4 months ago

Step 1

1 of 2Given to us is the polar coordinates $(r , \theta)$ given by Point $( 1,2 \pi / 3 )$. The angle $\theta$ is $\dfrac{2\pi}{3}$ .The cartesian coordinates of Points are

$\textbf{x -coordinate}$

$\begin{align*} x &= r \cos \theta \\ x &= 1 \cos 2 \pi / 3 \\ x &= \frac { - 1 } { 2 } \end{align*}$

$\textbf{y -coordinate}$

$\begin{align*} y & = r \sin \theta \\ y & = 1 \sin 2 \pi / 3 \\ y & = \frac { \sqrt { 3 } } { 2 } \end{align*}$

Hence cartesian Coordinates are $\left( \dfrac { - 1 } { 2 } , \dfrac { \sqrt { 3 } } { 2 } \right)$

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Thomas' Calculus

14th Edition•ISBN: 9780134438986 (8 more)Christopher E Heil, Joel R. Hass, Maurice D. Weir10,144 solutions

#### Calculus: Single and Multivariable

7th Edition•ISBN: 9781119320494Andrew M. Gleason, Hughes-Hallett, William G. McCallum8,896 solutions

#### Calculus: Early Transcendentals

8th Edition•ISBN: 9781285741550 (5 more)James Stewart11,085 solutions

#### Calculus: Early Transcendentals

9th Edition•ISBN: 9781337613927Daniel K. Clegg, James Stewart, Saleem Watson11,048 solutions

## More related questions

- prealgebra

1/4

- prealgebra

1/7