Question

de calculat va rog am nevoie de acest exercitiu​

Answer 1

E = sin(7pi/24)•cos(pi/24)

E + cos(7pi/24)•sin(pi/24) = sin(7pi/24)•cos(pi/24)+ cos(7pi/24)•sin(pi/24)

E + cos(7pi/24)•sin(pi/24) = sin(7pi/24+pi/24) = sin(pi/3) = √3 / 2

=> E = √3/2 - cos(7pi/24)•sin(pi/24)

E+E = √3/2 - cos(7pi/24)•sin(pi/24) + sin(7pi/24)•cos(pi/24)

2E = √3/2 + sin(7pi/24)•cos(pi/24) - cos(7pi/24)•sin(pi/24)

2E = √3/2 + sin(7pi/24 - pi/24)

2E = √3/2 + sin(pi/4)

2E = √3/2 + √2 / 2

=> E = √3/4 + √2/4

=> E = (√3+√2)/4