Question

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

Answer 1

7

Step-by-step explanation

The given functions are:

`f(x) = 4 \cos( \theta - 90)`

and

`f(x) = 2 \cos( \theta - 90) + 1`

From the question,

`A(x)=f(x)+g(x)`

`A(x)=4 \cos( \theta - 90) + 2 \cos( \theta - 90) + 1`

This simplifies to:

`A(x)=6\cos( \theta - 90) + 1`

The maximum value is 6+1=7