Given the expression:
[tex]2\sin 67.5\degree\cos 67.5\degree[/tex]
The angle of the sine and the cosine is the same angle = 67.5°
The given expression is the same as the rule of the sine of the double angle
Where:
[tex]2\sin \theta\cos \theta=\sin (2\theta)[/tex]
so, we will use the sine double-angle to solve the question
So, the answer will be:
[tex]\sin (2\cdot67.5\degree)=\sin 135\degree[/tex]
So, the answer will be option B) sin 135°
