2cos60-tg П/4

To evaluate the expression \(2 \cos 60^\circ - \tan \frac{\pi}{4}\), we can calculate each part separately. 1. **Calculate \( \cos 60^\circ \)**: \[ \cos 60^\circ = \frac{1}{2} \] Therefore, \[ 2 \cos 60^\circ = 2 \times \frac{1}{2} = 1 \] 2. **Calculate \( \tan \frac{\pi}{4} \)**: \[ \tan \frac{\pi}{4} = 1 \] Now, substitute these values back into the expression: \[ 2 \cos 60^\circ - \tan \frac{\pi}{4} = 1 - 1 = 0 \] Thus, the final answer is: \[ \boxed{0} \]