What is the Cartesian form of $(66, \frac{- 31 π}{16}))$ $(66,(-31pi)/16))$ ?

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Answer 1 · 2018-07-09T02:37:55

$Cartesian form x = 64.73, y = 12.88$ $color(magenta)("Cartesian form " x = 64.73, y = 12.88$

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$Given r = 66, θ = {(- \frac{31 π}{16})}^{c}, (I Quadrant)$ $"Given " r = 66, theta = (-(31pi)/16)^c, (" I Quadrant")$

$x = r cos θ = 66 \cdot cos (\frac{- 31 π}{16}) \approx 64.73$ $color(magenta)(x =) r cos theta = 66 * cos ((-31pi)/16) ~~ color(magenta)(64.73$

$y = r sin θ = 66 \cdot sin (\frac{- 31 π}{16}) \approx 12.88$ $color(magenta)(y =) r sin theta = 66 * sin ((-31pi)/16) ~~ color(magenta)(12.88$

What is the Cartesian form of (66,(-31pi)/16))(66,−31π16))(66,(-31pi)/16))?