Simplify $\sin 17^\circ + \sin 43^\circ.$

Enter your answer as a trigonometric function evaluated at an integer, such as "sin 7".  (The system will assume that the angle is in degrees.  The angle should be positive and as small as possible.)
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Simplify $\sin 17^\circ + \sin 43^\circ.$

Enter your answer as a trigonometric function evaluated at an integer, such as "sin 7".  (The system will assume that the angle is in degrees.  The angle should be positive and as small as possible.)
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\cos 13^\circ
Simplify $\sin 17^\circ + \sin 43^\circ.$

Enter your answer as a trigonometric function evaluated at an integer, such as "sin 7".  (The system will assume that the angle is in degrees.  The angle should be positive and as small as possible.)
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