Answer:
[tex]\theta= 84[/tex]
Step-by-step explanation:
Given
[tex]\sin(\theta) = \cos(6)[/tex]
Required
Find [tex]\theta[/tex]
In trigonometry,
If [tex]\sin(\theta) = \cos(\alpha)[/tex], then
[tex]\theta + \alpha = 90[/tex]
So, in this case:
[tex]\theta + 6= 90[/tex]
Subtract 6 from both sides
[tex]\theta + 6-6= 90-6[/tex]
[tex]\theta= 90-6[/tex]
[tex]\theta= 84[/tex]
Hence, the value of [tex]\theta[/tex] is 84 degrees
