Changing ImageView position based on angle of rotation

I am trying to make an ImageView change its position based on the direction it is facing.

import javafx.animation.AnimationTimer;
import javafx.application.Application;
import javafx.scene.Group;
import javafx.scene.Scene;
import javafx.scene.image.Image;
import javafx.scene.image.ImageView;
import javafx.stage.Stage;

public class Demo extends Application {

    public void start(Stage window) {
        window.setTitle("Changing ImageView position based on angle of rotation");

        int speed = 10; // You can modify the speed here

        ImageView imageView = new ImageView(new Image("https://encrypted-tbn0.gstatic.com/images?q=tbn%3AANd9GcTBJoRKh1UKimWTSLdabW2b8RSLDeSgMfSqqg&usqp=CAU"));
        imageView.setX(100);
        imageView.setY(100);

        imageView.setRotate(65); // This is where you can change the angle of rotation

        Group root = new Group();
        root.getChildren().add(imageView);
        Scene scene = new Scene(root);
        window.setScene(scene);

        final long[] lastNanoTime = {System.nanoTime()};

        new AnimationTimer() {
            @Override
            public void handle(long currentTime) {
                double elapsedTime = (currentTime - lastNanoTime[0]) / 1000000000.0;
                lastNanoTime[0] = currentTime;

                imageView.setX(imageView.getX() + Math.sin(Math.toRadians(imageView.getRotate())) * speed * elapsedTime);
                imageView.setY(imageView.getY() + Math.cos(Math.toRadians(imageView.getRotate())) * speed * elapsedTime);

            }
        }.start();

        window.show();
    }


    public static void main(String[] args) {
        launch(args);
    }
}

The above code is based on the code I am using. You can adjust the degrees accordingly to see the issue. The ImageView does not move in the direction it is facing. Note: I found a random .png file online for the purpose of this demo. You can substitute with a different image in you own code in order to better visualize the problem.

The issue is, the ImageView does not move in the direction it is facing. When oriented vertically (0° or 180°) the ImageView moves backward, but when oriented horizontally (90° or 270°) it moves straight ahead like it should. When oriented diagonally, it moves somewhere in between.

What am I doing wrong and how do I fix it?