Question

For PQR, which one is equal to sin(P)?

Answer 1

The third option.

`cos(Q)=(RQ)/(PQ)`

Explanation:

SIN is opposite over hypotenuse.

COS is adjacent over hypotenuse

Therefore

`sin(P)=(RQ)/(PQ)`

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

`sin(Q)=(RP)/(QP)`

The third option

`cos(Q)=(RQ)/(PQ)`

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

Finally we see that

`cos(Q)=(RQ)/(PQ)`

and

`sin(P)=(RQ)/(PQ)`

are equivalent.