To match: The given graphs with a pair of the given equations.
The equations (a) and (g) are the correct match for the graph.
Given information:
The given graph is as follows,
Figure (1)
Formula used:
Use the formula for cosine of difference.
Calculation:
The equation of sine and cosine function with
In the interval
This result matches with (d) if only a horizontal translation is involved or matches (a) if there are both reflection across the
For (d), it can be written as
For (a), it can be written as
So, the equation that represents the graph will be,
Use the formula for cosine of difference to write the another equation as,
Therefore, the equations (a) and (g) are the correct match for the graph.
Chapter 5 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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