Question

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

Explanation:

Step1: Recall sine - ratio definition

In a right - triangle, $\sin(A)=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify opposite and hypotenuse

For angle $A$ in right - triangle $ABC$, the side opposite to angle $A$ is $BC = 48$, and the hypotenuse is $AC=52$.

Step3: Calculate $\sin(A)$

$\sin(A)=\frac{48}{52}=\frac{12}{13}$

Answer:

$\frac{12}{13}$