What are the components of the vector between the origin and the polar coordinate $(12, \frac{7 π}{8})$ $(12, (7pi)/8)$ ?

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What are the components of the vector between the origin and the polar coordinate $(12, \frac{7 π}{8})$ $(12, (7pi)/8)$ ?

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Answer 1 · 2016-02-29T03:58:10

( $-$ $-$ 12 cos $π$ $pi$ /8, 12 sin $π$ $pi$ /8 ) =
( $-$ $-$ 6 $\sqrt{}$ $sqrt$ (2 + $\sqrt{}$ $sqrt$ 2 ). 6 $\sqrt{}$ $sqrt$ (2 $-$ $-$ $\sqrt{}$ $sqrt$ 2 )
= ( $-$ $-$ 11.09, 4.59 ), nearly.

Explanation:

Components of radius vector to ( r, $θ$ $theta$ ) are ( r cos $θ$ $theta$ , r sin $θ$ $theta$ )
cos ( $π$ $pi$ - $θ$ $theta$ ) = $-$ $-$ cos $θ$ $theta$
sin ( $π$ $pi$ - $θ$ $theta$ ) = sin $θ$ $theta$
cos $π$ $pi$ /8 = $\sqrt{}$ $sqrt$ ((1 + cos $π$ $pi$ /4)/2)
sin $π$ $pi$ /8 = $\sqrt{}$ $sqrt$ ((1 $-$ $-$ cos $π$ $pi$ /4)/2)

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What are the components of the vector between the origin and the polar coordinate $(12, \frac{7 π}{8})$ $(12, (7pi)/8)$ ?

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Explanation:

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What are the components of the vector between the origin and the polar coordinate (12,7π8)(12, (7pi)/8)?

1 Answer

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What are the components of the vector between the origin and the polar coordinate $(12, \frac{7 π}{8})$ $(12, (7pi)/8)$ ?