Final Answer:
The value of sin A in radical form is:
![\[ \sin A = -(√(10))/(10) \]](https://img.qammunity.org/2024/formulas/mathematics/college/dxnfos821xmgzndkniezhmc3o8mb6hew2f.png)
Step-by-step explanation:
The given information includes
we can use the identity
Substituting the given values, we get

To isolate
and simplify, resulting in
The negative sign indicates that
is negative, placing the angle in the third quadrant where both sine and cosine are negative.
In the third quadrant, the cosine is negative and the sine is also negative. Therefore,
. This means that the ratio of the opposite side to the hypotenuse in the right triangle formed by angle
