What is the distance between $(4, \frac{π}{2})$ $(4, pi/2 )$ and $(2, \frac{π}{12})$ $(2, pi/12 )$ ?

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Answer 1 · 2018-04-09T01:59:00

$Distance between the two points is 2$ $color(blue)("Distance between the two points is " color(green)(2)$

![ jwilson.coe.uga.edu )

$Given : A (4, \frac{π}{2}), B (2, \frac{π}{2})$ $"Given : " A (4, pi/2), B(2, pi/2)$

$x_{A} = 4 cos (\frac{π}{2}) = 0, y_{A} = 4 sin (\frac{π}{2}) = 4$ $x_A = 4 cos (pi/2) = 0, y_A = 4 sin (pi/2) = 4$

$x_{B} = 2 cos (\frac{π}{2}) = 0, y_{B} = 2 sin (\frac{π}{2}) = 2$ $x_B = 2 cos (pi/2) = 0, y_B = 2 sin (pi/2) = 2$

$since y coordinates of both the points are 0,$ $color(brown)("Since y coordinates of both the points are 0"),$

$Distance between A & B is = x_{A} - x_{B} = 4 - 2 = 2$ $color(crimson)("Distance between A & B is " = x_A - x_B = 4 - 2 = 2$

What is the distance between (4,π2)(4, pi/2 ) and (2,π12)(2, pi/12 )?