Question

question find the exact value of sin a in simplest radical form. b 7 c 4 a √65 answer attempt 1 out of 2

Explanation:

Step1: Recall sine definition

In a right triangle, $\sin\theta = \frac{\text{opposite}}{\text{hypotenuse}}$. For $\angle A$, opposite side is $BC = 7$, hypotenuse is $AB=\sqrt{65}$.

Step2: Apply sine formula

$\sin A=\frac{BC}{AB}=\frac{7}{\sqrt{65}}$. Rationalize the denominator: $\frac{7\sqrt{65}}{65}$.

Answer:

$\frac{7\sqrt{65}}{65}$