SOLUTION: In triangle ABC, a=6, b=7, and cos C=1/4 A.) Find the exact area of the triangle. B.) Find C C.) Find sin A in simplest radical form. The part I'm having trouble with it w

Question 193069: In triangle ABC, a=6, b=7, and cos C=1/4
A.) Find the exact area of the triangle.
B.) Find C
C.) Find sin A in simplest radical form.
The part I'm having trouble with it what does cos C=1/4 mean?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
In triangle ABC, a=6, b=7, and cos C=1/4
A.) Find the exact area of the triangle.
B.) Find C
C.) Find sin A in simplest radical form.
The part I'm having trouble with it what does cos C=1/4 mean?
means that the cosine of C is
The formula for the area is

So first we must find from
To do this we make use of the identity

Since we know that

Now we can substitute in the area formula:

Edwin
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