Find the midline for f(x)=−2+4cosx.

The mid-line for f(x) = 4cos x is y = 0. In the given equation, the term -2 is described as the y-shift. Therefore the mid-line for f(x) = -2 + 4cos x is:
y = -2.

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priyankapandeyVT priyankapandeyVT · Answer 2 · 2022-08-04T15:59:27+02:00

The required midline for function f(x)= −2 + 4cosx is y = -2.

In a question midline for function f(x)= −2 + 4cosx to be determine.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

Here,
f(x)= −2+4cosx
Above function contains cos operator so the maximum and minimum values will be at cosx = + 1 and cosx = - 1,

Now for maximum, cosx =1
f(0) = -2 + 4
f(x) = 2

For minimum cosx = -1
f( π ) = -2 +4 (-1)
f( π ) = -2 -4
f( π ) = -6

Now the midline lies between f(0) and f(π).
y = f(0) + f( π ) /2
y = (2 - 6)/2
y = -4/2
y = -2

Thus, the midline for f(x)=−2+4cosx is y = -2

Learn more about trigonometry equations here:

brainly.com/question/22624805

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