Respuesta :

Answer:

[tex]\theta =84[/tex]

Step-by-step explanation:

Given

[tex]sin(\theta) = cos(6)[/tex]

Required

Find [tex]\thata[/tex][tex]\theta[/tex]

In trigonometry:

If sin(A) = cos(B), then

[tex]A + B = 90[/tex]

So, we have:

[tex]\theta + 6 = 90[/tex]

Collect Like Terms

[tex]\theta + 6 -6= 90-6[/tex]

[tex]\theta = 90-6[/tex]

[tex]\theta =84[/tex]