Trivium
- Given an origin point and a coordinate axis in the plane, use a protractor and ruler to determine the polar coordinates of any point in that plane.
- Given either the rectangular or polar coordinates of a point in space write down its coordinates in the other system.
- Given an angle expressed in radian, or in degrees/minutes/seconds, or as a fraction of a degree, express it the other two ways.
- Given an analytic description (equation) of a curve in either rectangular or polar coordinates, write down a description in the other coordinate system.
- Know the output value of any trigonometric function at any rational multiple of \(\frac{\pi}{6}\) (30°) or \(\frac{\pi}{4}\) (45°).
- Given composite of a trigonometric function with any number of linear functions sketch its graph, and conversely recognize the graph of such a function and write down its formula.
Problems
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What is the distance between the points \((3,45°)?\) and \((5,210°)?\)
In general, given two points \((r_1, \theta_1)\) and \((r_2, \theta_2),\) what is a formula for the distance between them?
- What is the degree measure of an angle that measures one radian? How do you express this degree measure in degrees/minutes/seconds?
- TK Angle of elevation and depression.
- TK Bearing