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Solve the Problem (4,π6)\left( 4 , \frac { \pi } { 6 } \right)

question 135

Essay

Solve the problem.
-Plot the point (4,π6)\left( 4 , \frac { \pi } { 6 } \right) and find other polar coordinates (r,θ)( r , \theta ) of the point for which:
(a) r>0,2πθ<0\mathrm { r } > 0 , \quad - 2 \pi \leq \theta < 0
(b) r<0,0θ<2π\mathrm { r } < 0 , \quad 0 \leq \theta < 2 \pi
(c) r>02πθ<4π\mathrm { r } > 0 \quad 2 \pi \leq \theta < 4 \pi  Solve the problem. -Plot the point  \left( 4 , \frac { \pi } { 6 } \right)  and find other polar coordinates  ( r , \theta )  of the point for which: (a)  \mathrm { r } > 0 , \quad - 2 \pi \leq \theta < 0  (b)  \mathrm { r } < 0 , \quad 0 \leq \theta < 2 \pi  (c)  \mathrm { r } > 0 \quad 2 \pi \leq \theta < 4 \pi

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