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You've explored a variety of trigonometric applications and studied different coordinate
systems in the process, namely the Cartesian (rectangular), the polar, and the complex
coordinate systems. What do these coordinate systems have in common, and how is
each system unique? How are the absolute value of an imaginary number, the magnitude
of a force, and the distance between two points related to one another? What are the
advantages and disadvantages of each system?

Respuesta :

The Cartesian coordinate system is also known as a rectangular coordinate system and it is done on two coordinate axes that are perpendicular to each other.

What is a distance-time curve?

The distance-time curve can be plotted on the rectangular coordinate axis with distance on the y-axis while the time will be on the x-axis. The slope of the s-t curve gives velocity while v-t curve will give acceleration.

In the rectangular coordinate system, the points are of the form (x,y) but in the case of polar coordinates, the point on the circle will be denoted by (rcosθ,rsinθ) where 'r' is the radius of the circle.

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