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 * **Aim: How do we find the exact values of the the other five trig functions when one function value is given?**

Before we do this, let's simplify the following in terms of sine and cosine in simplest terms:

A. (1 + cos x)(1 + sec x) B. (cos a + sin a)/(sin a)

In this lesson we will sketch an unknown angle using some given information. From that we will determine the values of the other five trigonometric functions.

[|Video 1]

This last video shows how to do this to a quadrant I angle. You will need to apply this to an angle in any quadrant. You will see what I mean in the class work.

The video below gives some another type of example as Video 1, but it takes it to a more challenging level.

[|Video 2]


 * **Classwork:** Find the missing 5 trig functions when you know cos x = -1/3 and lies in quadrant III.


 * **Homework:** Complete #3 - 13 odd. Be sure to sketch these first. Also, beware of the signs of numbers in the quadrants.

[|8.6_Finding_other_values.JPG] [|A-8.6_Finding_other_values.JPG]
 * **Answers**


 * **Journal entry:** How can the relationship between a pair of complementary angles be used to expressed a function of an angle as a function of an angle that is less than 45 degrees?