Answer:
sinθ = 4/5
Step-by-step explanation:
The given point is (-3,4). This point lies in the second quadrant.
In second quadrant, sinθ is positive.
Now, please see the attached image.
The point (-3,4) is at A. The hypotenuse OA can be found by using the Pythagorean theorem.
[tex]OA=\sqrt{4^2+3^2}\\\\OA=\sqrt{16+9}\\\\OA=\sqrt{25}\\\\OA=5[/tex]
Now, in triangle AOB,
[tex]\sin\theta=\frac{AB}{OA}\\\\\sin\theta=\frac{4}{5}[/tex]
Thus, we have
sinθ = 4/5
