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Home > PC > Chapter 4 > Lesson 4.1.3 > Problem 4-41

4-41.

Find the exact values of the following trig expressions.

  1. 1. This is the 2nd quadrant.
    2. Cosine is the -value.
    3. Cosine is negative in the 2nd quadrant.
    Circle with horizontal diameter, point in second quadrant, about 2 thirds up from left diameter endpoint, right triangle with hypoteuse between center & point, horizontal leg on negative x axis, labeled negative 1 half times square root of 2.

  1. 1. Sine is -value.
    2. What are the side lengths?
    3. Is it positive or negative?
    Circle with horizontal diameter, point in fourth quadrant, about 1 third down from right diameter endpoint, right triangle with hypoteuse between center & point, horizontal leg on positive x axis.

  1. Circle with horizontal diameter, point in third quadrant, about 2 thirds down from left diameter endpoint, right triangle with hypoteuse between center & point, horizontal leg on negative x axis.

  1.  1. Be sure to take the ratio of 
     2. Watch your signs!