Question

sin 5n÷6 - cos 7n÷3 ÷ sin 2n÷3 - cos 4n÷3 RESULTADO=2 ( TRIGONOMETRIA) ​

Answer 1

Resposta:

Explicação passo-a-passo:

sen5π/6 = sen5×180/6 = sen150° = 1/2

cos7π/3= cos7×180/3 = cos420 = cos60° = 1/2

sen2π/3 = sen2×180/3 = sen120° = √3/2

cos4π/3 = cos4×180/3 = cos240° =  -1/2

1/2 - (1/2÷√3/2) - (-1/2)

1/2 -(1/2×2/√3) + 1/2

1 - 1/√3

1 - √3/3