Answer: The exact value of sin 45° is [tex]\frac{\sqrt{2}}{2}[/tex]
Step-by-step explanation:
Since we have given that
[tex]\sin 45^\circ[/tex]
We need to find the exact value of sin 45°.
From the trigonometric table,
[tex]\sin 45^\circ=\frac{1}{\sqrt{2}}[/tex]
We need to write it as a simplified fraction,
So, for this, we will rationalize the denominator:
[tex]\frac{1}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}\\\\=\frac{\sqrt{2}}{2}[/tex]
Hence, the exact value of sin 45° is [tex]\frac{\sqrt{2}}{2}[/tex]
