Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value , then
sin²45° = [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex]