To simplify: the expression and check result numerically.
Answer to Problem 18RE
Explanation of Solution
Given information:
Given expression
Calculation:
Let us consider the following expression,
The given trigonometric expression requires the use of the identities given by equation (1), (2), (3) and (4). Equation (1) gives that is known as the even-odd identity of cosine of
The identities given in equations (2) and (3) are used in simplification of the given trigonometric expression in the following way.
Now the use of the even-odd identity of cosine function given by equation (1) is used to further simplify the expression.
The identity given by equation (4) is to be used for final simplified form of the expression.
Hence,
Now, check the result graphically as shown:
Table of values for
Graph of
Table of values for
Graph of
Both graphs are same and the functional values are also same.
Chapter 5 Solutions
Precalculus with Limits: A Graphing Approach
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