Question

Si Cos(x-45) = 3√2/4. Halla: E = Senx + Cosx + a) 1/2 b) 2 c) 1 d) 3/2 e) 1/4 ​

Answer 1

Respuesta:

Es la d

Explicación paso a paso:

Si Cos(x - 45) = 3√2/4.

Halla: E = Senx + Cosx

Resolvamos:

cos(x - 45) = 3√2/4

cos (x) × cos (45) + sen (x) × sen (45) = 3√2/4

cos (x) × 1/√2 + sen (x) × 1/√2 = 3√2/4

1/√2(senx + cosx) = 3√2/4

senx + cosx = 3√2/4 ÷ 1/√2

senx + cosx = 3√2/4 × √2

senx + cosx = (3√2 × √2)/4

senx + cosx = (3√4)/4

senx + cosx = (3 × 2)/4

senx + cosx = 6/4

senx + cosx = 3/2

E = 3/2

Por lo tanto, el valor de "E" es 3/2