Question

Which graph represents the reflection in the x-axis of the curve y = cos x

Answer 1

Answer:

The curve represented by Green color Dotted Lines in the attached figure represents the Reflection in x-axis of the curve $y = cos x$.

Step-by-step explanation:

As we know, the value of $cosx$ lies between (-1,1) and its graph is a curve. Its value keeps on varying between -1 and 1 only depending on the value of $x$.

The value of $y$ is $\text{0}$ at $x = \frac{\pi}{2}$. Few values are labeled in the figure attached in the answer. The value $y$ is 1 at $x = 0$.

The curve shown in blue color solid line represents the curve of $y = cos x$.

And the curve shown in the dotted green color in the attached figure represents the reflection in the x-axis.