The Polar Coordinates of a Point Are Given $\left( - 5 , \frac { 3 \pi } { 4 } \right)$

question 199

Multiple Choice

The polar coordinates of a point are given. Find the rectangular coordinates of the point.
- $\left( - 5 , \frac { 3 \pi } { 4 } \right)$

• A) \(\left( \frac { - 5 \sqrt { 2 } } { 2 } , \frac { - 5 \sqrt { 2 } } { 2 } \right)\)
• B) \(\left( \frac { - 5 \sqrt { 2 } } { 2 } , \frac { 5 \sqrt { 2 } } { 2 } \right)\)
• C) \(\left( \frac { 5 \sqrt { 2 } } { 2 } , \frac { - 5 \sqrt { 2 } } { 2 } \right)\)
• D) \(\left( \frac { 5 \sqrt { 2 } } { 2 } , \frac { 5 \sqrt { 2 } } { 2 } \right)\)

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Definitions:

Impact Crater

A depression on the surface of a planet, moon, or asteroid, created by the collision of a meteorite or comet.

Subduction Zone

A region of the Earth's crust where one tectonic plate moves under another, often causing volcanic activity.

Island Arc

A curved series of volcanic islands that arise from the ocean floor, typically near a convergence zone between tectonic plates.

Lesser Antilles

A group of islands in the Caribbean Sea, forming part of the boundary between the Caribbean Sea and the Atlantic Ocean, located on the eastern edge of the Caribbean plate.