Question

(sinπ/8)*(cosπ/8)+1/4​

Answer 1

Ответ:

Sin (pi/8) * cos (pi/8) + 1/4.

1/2 * 2 * Sin (pi/8) * cos (pi/8) + 1/4

Формула: sin (2 * a) = 2 * sin a * cos a

1/2 * 2 * Sin (pi/8) * cos (pi/8) + 1/4 = 1/2 * sin (2 * pi/8) + 1/4 = 1/2 * sin (pi/4) + 1/4

1/2 * √2/2 + 1/4 = √2/(2 * 2) + 1/4 = (√2 + 1)/4.