What is the distance between polar coordinates $(-2, 300^circ)$ and $(2, 10^circ)$ ?

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Answer 1 · 2018-07-09T06:23:12

$color(indigo)("Distance " d ~~ 3.2766$

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

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

$(r_1, theta_1) = (-2, 300^@), (r_2, theta_2) = (2, 10^@)$

$d = sqrt(-2^2 + 2^2 - 2 * -2 * 2 * cos (300-10)$

$d = sqrt (8 + 8 cos 290) ~~ 3.2766$

What is the distance between polar coordinates (-2, 300^circ)(-2, 300^circ) and (2, 10^circ)(2, 10^circ)?