Converting Rectangular to Polar Coordinates

What trigonometric function is used to find the angle in polar coordinates when converting from rectangular coordinates?

• Sine

• Cosine

• Tangent inverse

• Cotangent

If a point is in the second or third quadrant, what must be added to the angle obtained from the tangent inverse to correctly position it in polar coordinates?

• 3 Pi/2

• Pi/2

• 2 Pi

• Pi

What is the correct formula to calculate the radius 'r' in polar coordinates from rectangular coordinates 'x' and 'y'?

• r = x/y

• r = x^2 + y^2

• r = sqrt(x^2 + y^2)

• r = y/x

In which quadrant does the tangent inverse function naturally provide correct angles without needing adjustments?

• Quadrant 1 and 4

• Quadrant 2 and 3

• Quadrant 1 and 2

• Quadrant 3 and 4

When converting a point from rectangular to polar coordinates, if the point lies in quadrant four and a positive angle is required, how much should be added to the angle?

• 3 Pi/2

• 2 Pi

• Pi/2

• Pi

What is the period of the tangent function used in converting coordinates?

• 2 pi radians

• 180 degrees

• pi radians

• 360 degrees

When converting a point from rectangular to polar coordinates, which quadrant requires adding pi to the angle obtained from the tangent inverse?

• Quadrant 4

• Quadrant 3

• Quadrant 1

• Quadrant 2

In which quadrant would a point with negative x and y coordinates be located?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

What additional step is required when the tangent inverse gives a negative angle in quadrant four?

• Add pi

• Add 2 pi

• Subtract pi

• No additional steps required

How do you handle decimal coordinates when converting from rectangular to polar coordinates?

• Round to the nearest integer

• Use a calculator for precise conversion

• Ignore the decimals

• Convert decimals to fractions