Converting Polar to Rectangular Coordinates

What does a polar coordinate consist of?

• Only the angle theta

• Only the radius r

• r and theta values

• x and y coordinates

Which trigonometric function is used to find the y-coordinate in rectangular coordinates?

• Cotangent

• Cosine

• Tangent

• Sine

What is the formula to find the x-coordinate in rectangular coordinates from polar coordinates?

• x = r / cosine(theta)

• x = r * cosine(theta)

• x = r * tangent(theta)

• x = r * sine(theta)

How do you find the angle when converting from rectangular to polar coordinates?

• Using sine inverse

• Using cosine inverse

• Using tangent inverse

• Using cotangent inverse

What does the Pythagorean theorem calculate in the context of polar coordinates?

• The radius r

• The y-coordinate

• The angle theta

• The x-coordinate

What must be considered when converting negative polar coordinates to rectangular coordinates?

• The value of theta only

• The quadrant of the original coordinates

• The value of r only

• The sign of theta

Which quadrant would a coordinate with an angle of 150 degrees and a positive radius fall into?

• Quadrant IV

• Quadrant I

• Quadrant II

• Quadrant III

What is the result of converting polar coordinates (r, theta) = (4, 3pi/2) to rectangular coordinates?

• (4, 0)

• (0, 4)

• (-4, 0)

• (0, -4)

When converting from rectangular to polar coordinates, what does the tangent function primarily determine?

• The x-coordinate

• The angle theta

• The y-coordinate

• The radius r

In the context of coordinate conversion, what does the equation x^2 + y^2 = r^2 represent?

• Calculation of the area of a circle

• Calculation of the hypotenuse in a triangle

• Conversion from rectangular to polar

• Conversion from polar to rectangular