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Home > PC3 > Chapter 2 > Lesson 2.2.4 > Problem 2-105

2-105.

​​Sketch a unit circle. In your circle, sketch an angle between and that has:  

  1. A positive cosine and a negative sine.

     Unit Circle, with a central angle, from the positive x axis, to a radius in fourth quadrant. The larger central angle, is shaded & labeled, alpha.

  2. A sine of .

    Unit Circle, with a central angle, from the negative x axis, to a radius in third quadrant. The central angle from the positive, x axis, to the radius in third quadrant, is shaded & labeled beta.

  3. A negative cosine and a negative sine.

    Unit Circle, with a central angle, from the negative x axis, to a point in third quadrant. The central angle from the positive, x axis, to the radius in third quadrant, is shaded and labeled, y.

  4. A cosine of about and a sine of about .

    Unit Circle, with a central angle from the negative x axis, to a point in second quadrant. The central angle from the positive, x axis, to the radius in second quadrant, is shaded and labeled delta.

  5. Can an angle have a sine equal to and cosine equal to ? Give an angle or explain why not.

    Does ?