Question
Using the figure, establish the value of the function y=sinθ when θ=π3 . (1 point) Responses 3√2 Start Fraction Start Root 3 End Root over 2 End Fraction 12√ Start Fraction 1 over Start Root 2 End Root End Fraction 2√2 Start Fraction Start Root 2 End Root over 2 End Fraction 12
Answers
GPT-4o mini
To find the value of the function \( y = \sin \theta \) when \( \theta = \frac{\pi}{3} \), we can use the known value of the sine function at this angle.
The sine of \(\frac{\pi}{3}\) is:
\[
\sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}
\]
Among the options given, the correct value for \( \sin\left(\frac{\pi}{3}\right) \) is:
\[
\frac{\sqrt{3}}{2}
\]
So, the answer is:
\[
\boxed{\frac{\sqrt{3}}{2}}
\]
The sine of \(\frac{\pi}{3}\) is:
\[
\sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}
\]
Among the options given, the correct value for \( \sin\left(\frac{\pi}{3}\right) \) is:
\[
\frac{\sqrt{3}}{2}
\]
So, the answer is:
\[
\boxed{\frac{\sqrt{3}}{2}}
\]