Consider the trigonometric function f(x)=4cos(2x pi/2) +9
2 answers:
Answer:
Make use of your knowledge of the maximum and minimum of the cosine function. Then scale and translate according to the way that function is scaled and translated to make f(x).
Step-by-step explanation:
f(x) is the cosine function, multplied by 4 and with 9 added to the result.
The minimum of the cosine function is -1. Multiplying that by 4 gives -4, and adding 9 gives 5.
The maximum of the cosine function is +1. Multiplying that by 4 gives +4, and adding 9 gives 13.
The minimum and maximum of f(x) are 5 and 13, respectively.
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Answer:
Let us consider the expression:
(1)
Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign
And adding if powers are with opposite sign.
We will solve equation (1) by this quotient of power rule.
So, it can be rewritten as:
.