Respuesta :

[tex]\frac{sin(x)}{cos(y)} = 1[/tex]

Try it on a calculator.

x + y = 90

if x = 30 and y = 60

[tex]\frac{sin(30)}{cos(60)}= 1[/tex]

Answer:

[tex]\frac{\sin(x)}{\cos(y)}=1[/tex]

Step-by-step explanation:

From the given right triangle.

[tex]x+y=90\degree[/tex]

This implies that;

[tex]\sin(x)=\cos(y)[/tex]

Because the two angles are complementary.

We divide both sides by [tex]\cos(y)[/tex] to obtain;

[tex]\frac{\sin(x)}{\cos(y)}=\frac{\cos(y)}{\cos(y)}[/tex]

We simplify to get;

[tex]\frac{\sin(x)}{\cos(y)}=1[/tex]

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