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

11-23.
  1. In the diagram at right, the point P has Cartesian coordinates (x, y) and polar coordinates (r, θ). Homework Help ✎

    1. Explain why x = r cosθ.

    2. Find y in terms of r and θ.

    3. Find r in terms of x and y.

    4. Find θ in terms of x and y.

Using the diagram, cos(θ) = x/r.

Using the diagram, sin(θ) = ?

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

Use tangent.