Question

what is the exact value of sin (c)? your answer: not there yet, keep working

Explanation:

Step1: Recall sine - ratio formula

$\sin(C)=\frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Identify opposite and hypotenuse

The side opposite to angle $C$ is $AB = 10$, and the hypotenuse is $AC=26$.

Step3: Calculate the sine value

$\sin(C)=\frac{10}{26}=\frac{5}{13}$

Answer:

$\frac{5}{13}$