What is the distance between polar coordinates #(2, 120^circ)# and #(1, 150^circ)#?

1 Answer
sankarankalyanam
Jul 9, 2018

#color(brown)("Distance " d = 1.2393#

Explanation:

![https://www.aplustopper.com/stewart-calculus-7e-solutions-chapter-10-parametric-equations-polar-coordinates-exercise-10-3/](useruploads.socratic.org)

#d = sqrt (r_1^2 + r_2 ^2 - 2 r_1 r_2 cos (theta_1 - theta_2))#

#(r_1, theta_1) = (2, 120^@), (r_2, theta_2) = (1, 150^@)#

#d = sqrt(2^2 + 1^2 - 2 * 2 * 1 * cos (120-150)#

#d = sqrt (5 - 4 cos (-30)) ~~ 1.2393#

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