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3.13 Trigonometry and polar coordinates

Interactive practice questions

Consider the points on the following polar graphs.

a

Write down the missing coordinates in the graph below. Give your answer in terms of $r$r and $\theta$θ.

b

Write down the coordinates of $A$A in the graph below. Give your answer in terms of $r$r and $\theta$θ.

c

Write down the coordinates of $A$A in the graph below. Give your answer in terms of $r$r and $\theta$θ.

Medium
3min

What are the rectangular coordinates of the point with polar coordinates $\left(r,\theta\right)=\left(-10,\frac{\pi}{6}\right)$(r,θ)=(10,π6)?

Medium
1min

Consider the point with rectangular coordinates $\left(0,-5\right)$(0,5). Represent this number in modulus argument form, with $0^\circ\le\theta<360^\circ$0°θ<360° and $r>0$r>0.

Medium
1min

Consider the point with rectangular coordinates $\left(-5,0\right)$(5,0). Represent this number in modulus argument form, with $0^\circ\le\theta<360^\circ$0°θ<360° and $r>0$r>0.

Medium
< 1min
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Outcomes

3.13.A

Determine the location of a point in the plane using both rectangular and polar coordinates.

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