Question
What is the exact value of sin(12 degrees) and sin(90 degrees)?
Answers
GPT-4o mini
The exact value of \(\sin(90^\circ)\) is 1.
The value of \(\sin(12^\circ)\) does not have a simple exact expression in terms of standard angles, but it can be approximated using numerical methods or by using the sine addition formula. The approximate value is:
\[
\sin(12^\circ) \approx 0.2079
\]
If you need the exact expression in a different form involving radicals or special triangles, it can be derived using the sine addition formulas, but there is no simple radical expression for \(\sin(12^\circ)\) alone.
The value of \(\sin(12^\circ)\) does not have a simple exact expression in terms of standard angles, but it can be approximated using numerical methods or by using the sine addition formula. The approximate value is:
\[
\sin(12^\circ) \approx 0.2079
\]
If you need the exact expression in a different form involving radicals or special triangles, it can be derived using the sine addition formulas, but there is no simple radical expression for \(\sin(12^\circ)\) alone.