Respuesta :

MrRoyal

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

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