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

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Answer 1 · 2018-07-09T06:28:33

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

https://www.aplustopper.com/stewart-calculus-7e-solutions-chapter-10-parametric-equations-polar-coordinates-exercise-10-3/

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

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

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

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

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