given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of…

given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function. sin 150° answer attempt 1 out of 2 sin 150° =

given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function. sin 150° answer attempt 1 out of 2 sin 150° =

Answer

Answer:

$\frac{1}{2}$

Explanation:

Step1: Rewrite the angle

$150^{\circ}=180^{\circ} - 30^{\circ}$

Step2: Use sine - angle formula

$\sin(180^{\circ}-\alpha)=\sin\alpha$, so $\sin150^{\circ}=\sin(180^{\circ} - 30^{\circ})=\sin30^{\circ}$

Step3: Recall sine value

We know that $\sin30^{\circ}=\frac{1}{2}$, so $\sin150^{\circ}=\frac{1}{2}$