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

Audrina Jackson 2022-07-04 Answered
What is the distance between the following polar coordinates?:
( 5 , 5 π 4 ) , ( 2 , 11 π 8 )
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Answers (1)

Elianna Wilkinson
Answered 2022-07-05 Author has 11 answers
Step 1
If A ( 5 , 5 π 4 ) , Β ( 2 , 11 π 8 )
d A B = x 1 2 + x 2 2 - 2 x 1 x 2 cos ( θ 1 - θ 2 )
Step 2
5 2 + 2 2 - 2 5 2 cos ( 5 π 4 - 11 π 8 )
25 + 4 - 20 cos ( - π 8 )
29 - 20 cos ( π 8 )
29 - 20 2 + 2 2
29 - 10 2 + 2

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