Respuesta :

Answer:

The third option.

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]  

Step-by-step explanation:

SIN is opposite over hypotenuse.

COS is adjacent over hypotenuse

Therefore

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

Then we have 4 options.

It is not the first option beacause we can't determine which side is adjacent to the angle.

The second option

[tex]sin(Q)=\frac{RP}{QP}[/tex]

The third option

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]

It is not the fourth option beacause we can't determine which side is opposite to the angle.

Finally we see that

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]  

and

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

are equivalent.