Respuesta :

Answer:

Option D) 0.82

Step-by-step explanation:

we know that

[tex]sin(A-B)= sin(A)cos(B)-cos(A)sin(B)[/tex]

so

we have that

[tex]90\°-35\°=55\°[/tex]

substitute

[tex]sin(90\°-35\°)= sin(90\°)cos(35\°)-cos(90\°)sin(35\°)[/tex]

we have

[tex]sin(90\°)=1\\cos(90\°)=0\\sin(35\°)=0.57\\cos(35\°)=0.82[/tex]

substitute

[tex]sin(90\°-35\°)= (1)(0.82)-(0)(0.57)[/tex]

[tex]sin(90\°-35\°)= 0.82[/tex]

[tex]sin(55\°)= 0.82[/tex]