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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?

  1. See part (a).

  1. 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 .


Compute without a calculator