Polar Coordinates
Polar coordinates provide an alternative method for locating points in a two-dimensional space. Unlike the Cartesian coordinate system, which uses x and y coordinates, polar coordinates represent a point by its distance from the origin (r) and the angle formed by a reference line (usually the positive x-axis) to the point (θ). This system is particularly useful for describing circular and rotational phenomena, such as in physics, engineering, and astronomy. By using polar coordinates, complex geometric problems involving symmetry and periodicity can often be simplified, offering a powerful tool in various fields of study and application.
Questions
- What is the distance between #(-6 , pi/2 )# and #(5, pi/6 )#?
- How do you graph the point #R(-7/2, 1050^o)#?
- What is the distance between #(5 , (7 pi)/4 )# and #(-4 , pi )#?
- How do you find the rectangular coordinates given #(6, 150^o)#?
- What is the distance the polar coordinates #(-2 ,( -3 )/8 )# and #(6 ,(-7 pi )/4 )#?
- What is the distance between #(2 ,(3 pi)/4 )# and #(2 , (13 pi )/8 )#?
- What is the distance between #(-3 , (13 pi)/12 )# and #(4 , pi )#?
- Determine the quadrant in which theta lies: sin theta<0 and cos theta<0?
- How do you convert #(-2,0)# from cartesian to polar coordinates?
- What is the distance between #(4 ,( 9 pi)/8 )# and #(-1 ,( 3 pi )/2 )#?
- What is the distance between #(2 , (5 pi)/8 )# and #(3 , (1 pi )/3 )#?
- What is the distance between #(-3 , (17 pi)/12 )# and #(-1 , pi/4 )#?
- How do you change the rectangular coordinate #(-6, 6sqrt3)# into polar coordinates?
- Convert the equation 6x+5y+6=0 to polar form?
- How do you change the polar coordinate #(9, -pi/3)# into rectangular coordinates?
- How do you graph polar coordinates?
- How do you find four other pairs of polar coordinates for the point #T(1.5, 180^o)#?
- How do you convert the rectangular coordinate #(-4.26,31.1)# into polar coordinates?
- What is the distance between #(-5 ,( 5 pi)/12 )# and #(3 , ( pi )/2 )#?
- What is the distance between #(-6 , pi/2 )# and #(5, pi/12 )#?