Question

what is the exact value of sin (c)?

Explanation:

Step1: Recall sine - ratio formula

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Identify opposite and hypotenuse for $\angle C$

For $\angle C$, opposite side is $AB = 3$ and hypotenuse is $AC=5$

Step3: Calculate $\sin(C)$

$\sin(C)=\frac{AB}{AC}=\frac{3}{5}$

Answer:

$\frac{3}{5}$