Question

Determine o valor aproximado de y para y=sen 30° +sen de 60° sen de 45°

Answer 1

y = (1/2 - √2/2)/(√3/30 + (1/2 + √2/2)/√3

y = 3(1/2 - √2/2)/√3 + (1/2 + √2/2)/√3

y = 3*(1 - √2)/(2√3) + (1 + √2)/(2√3)

y = (3 - 3√2 + 1 + √2)/(2√3) = (4 - 2√2)/(2√3) = (2 - √2)/√3

y = (2 - √2)*√3/3 = (2√3 - √6)/3 = 0,3382