Using a trigonometric identity, it is found that the statement is False.
It is for the sine squared, given by:
[tex]\sin^2{x} = \frac{1 - \cos{(2x)}}{2}[/tex]
In this problem, the equality given is:
[tex]\sin{\left(\frac{x}{7}\right)} = \frac{1 - \cos{\left(\frac{2x}{7}\right)}}{2}[/tex]
Since the left side does not have the sine squared, the identity is not valid and the statement is False.
More can be learned about trigonometric identities at https://brainly.com/question/24496175
