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]