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Home > CCA2 > Chapter 7 > Lesson 7.1.7 > Problem 7-105

7-105.

Evaluate each of the following trig expressions without using a calculator.

  1.  

    Every point on the unit circle is defined as .
    Where is on the unit circle?
    Where is the value at that point?

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    See part (a).

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    When an angle is negative, it opens clockwise from on the unit circle.

  1.  

    Find an equivalent angle between by subtracting . Notice that the reference triangle is a triangle. Find the .

  1.  

    What is the value in this location?

  1.  

    Remember the tangent is the ratio of .

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Compute without a calculator