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

Shayla Osborne

Shayla Osborne

Answered question

2022-06-04

What is the distance between the following polar coordinates?:
( 5 , 7 π 4 ) , ( 3 , 9 π 8 )

Answer & Explanation

Angel Chan

Angel Chan

Beginner2022-06-05Added 6 answers

Step 1
z = | 5 C i s ( 7 π 4 ) - 3 C i s ( 9 π 8 ) |
( 5 cos ( 7 π 4 ) - 3 cos ( 9 π 8 ) ) 2 + ( 5 sin ( 7 π 4 ) - 3 sin ( 9 π 8 ) ) 2
5 2 + 3 2 - 2 5 3 cos ( 7 π 4 - 9 π 8 )
34 - 30 cos ( 5 π 8 )
6.744

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