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

Leland Morrow 2022-06-15 Answered
What is the distance between the following polar coordinates?:
( 3 , 17 π 12 ) , ( 5 , 7 π 8 )
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Answers (1)

lilao8x
Answered 2022-06-16 Author has 22 answers
Step 1
cos 17 π 12 = cos 255 = 0.2588 sin 17 π 12 = sin 255 = 0.9659
In cartesean coordinates the first point would be ( 3 cos 17 π 12 , 3 sin 17 π 12 ) Or, (-0.77645, -2.89777)
Second point would be ( 5 cos 7 π 8 , 5 sin 7 π 8 )
Or, (-4.6194, 1.9134)
Apply distance formula to get the distance =6.15549
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