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

Jeffery Clements

Jeffery Clements

Answered question

2022-06-25

What is the distance between the following polar coordinates?: ( 3 , π 4 ) , ( 2 , 7 π 8 )

Answer & Explanation

pheniankang

pheniankang

Beginner2022-06-26Added 22 answers

Step 1
Polar coordinates of point A is
r 1 = 3 , θ 1 = π 4
Polar coordinates of point B is
r 2 = 2 , θ 2 = 7 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 + 4 - 2 3 2 cos ( π 4 - 7 π 8 ) ) 4.19 unit
Distance between points is 4.19 unit

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