What is the distance between the following polar coordinates?: <mstyle displaystyle="true">

Sattelhofsk

Sattelhofsk

Answered question

2022-06-12

What is the distance between the following polar coordinates?:
( 3 , 7 π 4 ) , ( 5 , 13 π 8 )

Answer & Explanation

Stevinivm

Stevinivm

Beginner2022-06-13Added 18 answers

Step 1
Polar coordinates of point A is r 1 = 3 , θ 1 = 7 π 4
Polar coordinates of point B is r 2 = 5 , θ 2 = 13 π 8
Distance between points A and B is
D = r 1 2 + r 2 2 - 2 r 1 r 2 cos ( θ 1 - θ 2 )
D = ( 9 + 25 + 30 cos ( 7 π 4 - 13 π 8 ) ) 2.51 unit
Distance between points is 2.51 unit

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