question: Point $A$ is on the following unit circle with radius 1, and forms a red right triangle with an angle of $\frac{\pi}{4}$. What are the coordinates of point $A$ ?
  Enter an exact value or round to the nearest hundredth.
  
query_wo: Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
  Question: Point $A$ is on the following unit circle with radius 1, and forms a red right triangle with an angle of $\frac{\pi}{4}$. What are the coordinates of point $A$ ?
  Enter an exact value or round to the nearest hundredth.
  
query_cot: Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
  Question: Point $A$ is on the following unit circle with radius 1, and forms a red right triangle with an angle of $\frac{\pi}{4}$. What are the coordinates of point $A$ ?
  Enter an exact value or round to the nearest hundredth.
  
question_for_eval: Point $A$ is on the following unit circle with radius 1, and forms a red right triangle with an angle of $\frac{\pi}{4}$. What are the coordinates of point $A$ ?
  Enter an exact value or round to the nearest hundredth.
  