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Home > PC3 > Chapter 2 > Lesson 2.2.2 > Problem 2-65


Right triangle, horizontal leg labeled, x, vertical leg labeled, y, hypotenuse labeled, r, angle opposite vertical leg, labeled, theta.In problem 2-58 you determined that   by using a unit circle. But what if the circle is not a unit circle? Consider the triangle in the diagram at right. 

  1. In the diagram, does ? Explain.

  2. Use the diagram to write ratios for and

  3. Use your ratios from part (b) to write and simplify an expression  that involves , , and

  4. Does  for any right triangle? Explain. ​