What are the components of the vector between the origin and the polar coordinate $(- 3, \frac{- 7 π}{12})$ $(-3, (-7pi)/12)$ ?

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Answer 1 · 2018-02-27T05:30:30

$V_{x} = - 3 \cdot cos (\frac{- 7 π}{12}) = 0.7765$ $V_x = -3 * cos ((-7pi)/12) = color (blue)(0.7765)$

$V_{y} = - 3 \cdot sin (\frac{- 7 π}{12}) = 2.8978$ $V_y = - 3 * sin ((-7pi)/12) = color(blue)(2.8978$

Components of the vector $V_{x}, V_{y}$ $V_x, V_y$

We know, $V_{x} = r cos θ, V_{y} = r sin θ$ $V_x = r cos theta, V_y = r sin theta$

Given $r = - 3, θ = \frac{- 7 π}{12}$ $r = -3, theta = (-7pi)/12$

$:. V_x = -3 * cos ((-7pi)/12) = color (blue)(0.7765)$

$V_y = - 3 * sin ((-7pi)/12) = color(blue)(2.8978$

What are the components of the vector between the origin and the polar coordinate (-3, (-7pi)/12)(−3,−7π12)(-3, (-7pi)/12)?