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Home > PC > Chapter 11 > Lesson 11.1.2 > Problem 11-23


In the diagram at right, the point has Cartesian coordinates and polar coordinates .

  1. Explain why .

    Using the diagram, .

  2. Find in terms of and .

    Using the diagram, ?

  3. Find in terms of and .

    What theorem can be used to relate the three sides of a right triangle?

  4. Find θ in terms of and .

    Use tangent.

Circle on coordinate axes, intersection point of circle & positive x axis labeled, r, comma 0), point in first quadrant labeled, P, (x, comma y), radius to point labeled r, vertical segment creating right triangle, from point P, perpendicular to positive x axis, labeled y, angle between radius & positive x axis labeled theta, horizontal leg labeled x.