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Reflecting the graph of y=cosx across the y axis is the same as not reflecting it at all.

True or False

Verified Answer :

nobillionaireNobley

Refrecting the graph of y = cos x across the y axis is the same as not refrecting it at all since y = cos x is an even function. i.e. cos x = cos (-x). Hence the statement is true.

kudzordzifrancis

Answer:

True

Step-by-step explanation:

The graph of \(y=\cos(x)\) is an even function.

This means that the graph of \(y=\cos(x)\) is symmetric about the y-axis.


If we reflect the graph of \(y=\cos(x)\) about the y-axis, it will fall exactly on its outline.

This makes it behave as if it has not been reflected at all.


In other words, the mapping for reflection about the y-axis is

\((x,y)\rightarrow(-x,y)\)


Since \(\cos(-x)=\cos(x)\)

The graph will retrace its outline.

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