Answer:
The statement is true.
Step-by-step explanation:
Given : Reflecting the graph of y = sin x across the y-axis is the same as reflecting it across the x-axis.
To find : Is this statement true or false?
Solution:
Rules of reflection :
Along across y-axis if we have a point [tex](x,y)\rightarrow(-x,y)[/tex]
So, y=sinx
The reflection across y-axis→ [tex]y=sin(-x) \Rightarrow y = -sinx[/tex].......[1]
Along across x-axis if we have a point [tex](x,y)\rightarrow(x,-y)[/tex]
so, y=sinx
The reflection across x-axis → [tex]-y=sinx\Rightarrow y= -sinx[/tex] .....[2]
Hence, [1] and [2] both of them are equal
Therefore, the statement is true.
