Question

Si: sinx+cosx= raíz cuadrada de 7/6
Calcular: c= (senx) (cosx)

Answer 1

sen(x) + cos(x) = √(7/6)

[sen(x) + cos(x)]² = 7/6

sen²(x) + 2sen(x)cos(x) + cos²(x) = 7/6

Identidad:

sen²(x) + cos²(x) = 1

1 + 2sen(x)cos(x) = 7/6

2sen(x)cos(x) = 1/6

c = sen(x)cos(x) = 1/12