find the exact value. sin 3π/2
find the exact value. sin 3π/2
Answer
Explanation:
Step1: Recall unit - circle definition
The angle $\frac{3\pi}{2}$ in radians corresponds to $270^{\circ}$ on the unit - circle.
Step2: Determine sine value
On the unit - circle, for an angle $\theta$, $\sin\theta$ is the $y$ - coordinate of the point where the terminal side of the angle intersects the unit - circle. For $\theta=\frac{3\pi}{2}$, the point on the unit - circle is $(0, - 1)$. So, $\sin\frac{3\pi}{2}=-1$.
Answer:
$-1$