What is the distance between $(- 5, \frac{5 π}{12})$ $(-5 ,( 5 pi)/12 )$ and $(3, \frac{π}{2})$ $(3 , ( pi )/2 )$ ?

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What is the distance between $(- 5, \frac{5 π}{12})$ $(-5 ,( 5 pi)/12 )$ and $(3, \frac{π}{2})$ $(3 , ( pi )/2 )$ ?

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Answer 1 · 2016-02-26T11:27:34

$\sqrt{}$ $sqrt$ ( 34 + 30 sin 5 $π$ $pi$ /12 ). = 7.936 units, nearly.

Explanation:

The radial vectors to the points are $-$ $-$ 5 (cos 5 $π$ $pi$ /12, sin 5 $π$ $pi$ 12 ) and 3 ( cos $π$ $pi$ /2, sin $π$ $pi$ /2 ) = ( 0, 3).
The vector joining these points is the difference ( 5 cos $π$ $pi$ /12, 3 + 5 sin 5 $π$ $pi$ /12 ).
The length of this vector is the distance between the points.
It simplifies to $\sqrt{}$ $sqrt$ ( 34 + 30 sin 5 $π$ $pi$ /12 ).
5 $π$ $pi$ /12 = 75 deg.

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What is the distance between $(- 5, \frac{5 π}{12})$ $(-5 ,( 5 pi)/12 )$ and $(3, \frac{π}{2})$ $(3 , ( pi )/2 )$ ?

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Explanation:

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What is the distance between $(- 5, \frac{5 π}{12})$ $(-5 ,( 5 pi)/12 )$ and $(3, \frac{π}{2})$ $(3 , ( pi )/2 )$ ?