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Worksheet: Polar Distance Formula

Q1:

Find the distance between the polar coordinates ( 2 , πœ‹ ) and ο€Ό 3 , βˆ’ 3 πœ‹ 4  . Give your answer accurate to three significant figures.

Q2:

Consider the polar coordinates ο€» 3 , πœ‹ 6  and ο€» 4 , πœ‹ 3  , as shown in the figure.

Find the angle between the two lines.

  • A πœ‹ 2
  • B πœ‹ 3
  • C πœ‹ 6

Use the law of cosines to find the length of 𝐴 𝐡 . Give your answer accurate to three significant figures.