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Home > PC3 > Chapter 8 > Lesson 8.3.1 > Problem 8-89

8-89.

Rewrite each of the following expressions in terms of , where is any real number. Use the unit circle to justify your answers.  

  1.  

    Unit circle, with diameter half way through third & first quadrants, with dashed segments from intersection points, perpendicular to, x axis, creating right triangles, central angle in first quadrant, labeled, x, curved arrow from positive, x axis, to radius in third quadrant, labeled, pi + x.

  1.  

    Same unit circle, with horizontal legs for each triangle, highlighted in red.

  1.  

    Same unit circle, without dashed perpendicular segments.

    tangent slope

  1.  

    Unit circle, with right triangles in first & fourth quadrant, such that the dashed vertical legs, are aligned, central angle in first quadrant has curved arrow, pointing counterclockwise labeled, x, central angle in fourth quadrant has curved arrow, pointing clockwise, labeled, 2 pi minus x.

  1.  

    Same unit circle, with shared horizontal leg of the 2 right triangles, highlighted in red.

  1.  

    Same unit circle, without vertical legs.

    tangent slope

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