Question
What is equal to square root of 2 divided by 2
Answers
GPT-4o mini
The expression \(\frac{\sqrt{2}}{2}\) can be simplified or interpreted in different ways. However, it is often approximated or used in trigonometry.
1. **Approximate Value**:
\[
\frac{\sqrt{2}}{2} \approx 0.7071
\]
2. **Trigonometric Interpretation**:
\(\frac{\sqrt{2}}{2}\) is the value of the sine and cosine of \(45^\circ\) (or \(\frac{\pi}{4}\) radians):
\[
\sin(45^\circ) = \cos(45^\circ) = \frac{\sqrt{2}}{2}
\]
3. **In terms of a decimal**:
This value is also equivalent to approximately \(0.7071\).
Thus, \(\frac{\sqrt{2}}{2}\) can be understood in multiple contexts, but its most common use is in trigonometry or as a decimal approximation.
1. **Approximate Value**:
\[
\frac{\sqrt{2}}{2} \approx 0.7071
\]
2. **Trigonometric Interpretation**:
\(\frac{\sqrt{2}}{2}\) is the value of the sine and cosine of \(45^\circ\) (or \(\frac{\pi}{4}\) radians):
\[
\sin(45^\circ) = \cos(45^\circ) = \frac{\sqrt{2}}{2}
\]
3. **In terms of a decimal**:
This value is also equivalent to approximately \(0.7071\).
Thus, \(\frac{\sqrt{2}}{2}\) can be understood in multiple contexts, but its most common use is in trigonometry or as a decimal approximation.