Question

5. Consider a coordinate system where the coordinate values of a point are measured as a number of radius lengths. What is the general form of an ordered pair (expressed as a number of radius lengths) of any point on a circle that has a radius of r kilometers and an angle measure of ? radians? *6. a. Construct angles on the unit circle with these radian measures: ?/6, 5?/6, 7?/6, 11?/6. b. Using your calculator, determine the coordinates corresponding to the angle with a measure of ?/6 radians. Describe what these coordinates represent. c. Using the coordinates determined in part (b), determine the coordinates that correspond to 5?/6, 7?/6, 11?/6 radians. Explain how you determined these coordinates. Do not use a calculator.

          5. Consider a coordinate system where the coordinate values of a point are measured as a number of radius lengths. What is the general form of an ordered pair (expressed as a number of radius lengths) of any point on a circle that has a radius of r kilometers and an angle measure of ? radians?

*6. a. Construct angles on the unit circle with these radian measures: ?/6, 5?/6, 7?/6, 11?/6.

b. Using your calculator, determine the coordinates corresponding to the angle with a measure of ?/6 radians. Describe what these coordinates represent.

c. Using the coordinates determined in part (b), determine the coordinates that correspond to 5?/6, 7?/6, 11?/6 radians. Explain how you determined these coordinates. Do not use a calculator.

5. Consider a coordinate system where the coordinate values of a point are measured as a number of radius lengths. What is the general form of an ordered pair (expressed as a number of radius lengths) of any point on a circle that has a radius of r kilometers and an angle measure of ? radians?

*6. a. Construct angles on the unit circle with these radian measures: ?/6, 5?/6, 7?/6, 11?/6.

b. Using your calculator, determine the coordinates corresponding to the angle with a measure of ?/6 radians. Describe what these coordinates represent.

c. Using the coordinates determined in part (b), determine the coordinates that correspond to 5?/6, 7?/6, 11?/6 radians. Explain how you determined these coordinates. Do not use a calculator.

Added by Jose Carlos C.

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