1. ## rotation

A 15-degree counterclockwise rotation about (4,6) transforms (2,1) onto another point (x,y). Find x and y correct to the three decimal places.

Pls find attached work. I know I am doing something wrong but i can't figure it out.

2. Let O (4, 6) be the center. Let A be ( 2,1) and B be ( x, y). Draw a vertical line from O. Draw perpendiculars AD and BE from A and B on the vertical line. Let the angle AOD be θ. Then then angle BOE is equal to ( 15 + θ) degrees. Take tanθ and tan(15 + θ) and proceed.

3. Thank you for your help.
i was not sure how to apply tan so I used cos and sin.
Is my answer correct? And could you show me how to use tan?

pls find attached work.