Question

Seno de 30⁰ + seno de 60⁰/seno de 30⁰ × seno de 60⁰

Answer 1

Resposta:

(6 + V3)/3

Explicação passo-a-passo:

Seno de 30⁰ + seno de 60⁰/seno de 30⁰ × seno de 60⁰=

1/2 + V3/2(raiz de 3/2) / 1/2 x V3/2 =

(1 + V3/2) /(V3/4)=

(1 + V3/2) x (4/V3) =

4 + 4V3/2V3=

4/2V3 + 4V3/2V3=

2/V3 + 2 =

Racionalizando 2/V3 = 2/V3 x V3/V3 = 2V3/3

2V3/3 + 2 =

2V3/3 + 6/3 =

(6 + V3)/3

Obs. o V representa o radical da raiz

Answer 2

Seno de 30⁰ + seno de 60⁰/seno de 30⁰ × seno de 60⁰=

1/2 + V3/2(raiz de 3/2) / 1/2 x V3/2 =

(1 + V3/2) /(V3/4)=

(1 + V3/2) x (4/V3) =

4 + 4V3/2V3=

4/2V3 + 4V3/2V3=

2/V3 + 2 =

2/V3 = 2/V3 x V3/V3 = 2V3/3

2V3/3 + 2 =

2V3/3 + 6/3 =

(6 + V3)/3