Convert (−1, −1) into polar coordinates. Select the correct answer below.
Question
Convert (−1, −1) into polar coordinates. Select the correct answer below.
Solution
To convert the Cartesian coordinates (-1, -1) into polar coordinates, we follow these steps:
-
Calculate the radius r: r = sqrt(x² + y²) = sqrt((-1)² + (-1)²) = sqrt(2).
-
Calculate the angle θ: θ = atan2(y, x) = atan2(-1, -1) = 3π/4 or 135 degrees (in the second quadrant).
So, the polar coordinates are (sqrt(2), 3π/4).
Similar Questions
Convert the rectangular equation to polar form.y = −x
Convert the polar equation to rectangular form. (Use x for x and y for y as necessary.) Sketch the graph of this equation. (Do this on paper. Your instructor may ask you to turn in this graph.)r = -7
Find the polar co-ordinates of point whose Cartesian co-ordinates are (1,√3).
The point with polar coordinates (−2, −135°) could also be expressed as (2, 225°).
A graph in polar coordinates is of the form: r = -2 cosθ - 4 sinθ. Identify the graph of this function. Hint: Multiply both sides by r and then convert to Cartesian form. a. Circle b. Ellipse c. Hyperbola d. Line e. Parabola
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.