How do I detect whether a point exists in circle sector light? (FOV detection)

Question

I am trying to implement a spotlight (cone-shape) detection FOV for a game. I am currently calculating the lighting using the following function inside my fragment shader.

vec4 calculateLight(Light light)
{
    float aspectRatio = resolution.x / resolution.y; //amt of width / height
    if (aspectRatio > 1.0)
        light.radius.x /= aspectRatio;
    else
        light.radius.x /= aspectRatio;

    vec2 lightDir = fragmentPosition.xy - light.position.xy;
    float lightDistance = length(lightDir);
    if (length(lightDir / light.radius) >= 1.0)
            return vec4(0, 0, 0, 1); //outside of radius make it black

    if (dot(normalize(lightDir), normalize(light.spotDir.xy)) < cos(light.spotAngle/2))
            return vec4(0, 0, 0, 1); //outside of radius make it black
    
    return light.intensity * (1 - length(lightDir / light.radius)) * light.colour;
}

However, I would also like to use my light as something like a detection tool, which represents the enemy's line of sight, is there a way for me to do that? My LightComponent:

    struct LightComponent
    {
        Vec4 colour;
        Vec3 pos;
        
        Vec2 radius;
        float intensity;

        bool lightEnabled;
        //spotlight stuff
        float spotAngle;
        Vec3 spotDir;
        float DirectionAngle;
        bool takeVector = true;

        static Vec4 ambientLight;

        LightComponent();


        void ImGuiDraw();
    };

Range here is the radius.