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The graphs of two trigonometric functions, f(x) = 4 cos (0 - 90°) and g(x) = 2 cos (0 - 90°) + 1, are shown below. The two functions are added together to get a new function A(x). What is the maximum value of A(x)?


6

1

7

5

The graphs of two trigonometric functions fx 4 cos 0 90 and gx 2 cos 0 90 1 are shown below The two functions are added together to get a new function Ax What i class=

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ANSWER

7

EXPLANATION

The given functions are:

[tex]f(x) = 4 \cos( \theta - 90) [/tex]

and

[tex]f(x) = 2 \cos( \theta - 90) + 1[/tex]

From the question,

[tex]A(x)=f(x)+g(x)[/tex]

[tex]A(x)=4 \cos( \theta - 90) + 2 \cos( \theta - 90) + 1[/tex]

This simplifies to:

[tex]A(x)=6\cos( \theta - 90) + 1[/tex]

The maximum value is 6+1=7

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