To prove: that
Explanation of Solution
Given information:
Given figure,
Calculation:
Consider the following sketch,
First find a relationship for the large right triangle using simple trigonometry
Next find use the area formula for a right triangle
Now use the area of the two smaller triangles using the Law of sines and start with the lower left one.
Now use the area of the two smaller triangles using the Law of sines and compute the are of the right bottom triangle.
Add the two areas of the smaller triangles,
Set the total area equal to the area of the two smaller triangles of obtain,
Hence, proved
Chapter 7 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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