PQRS Parallelogram Help: Find Sin Q with Working

[Solidmozza]

Hi, New to this forum.
Im just doing my school certificate (yr10) and need help with 1 question.

PQRS is any parallelogram. If sin P = k, find Sin Q

Probably sounds like a stupid question but heck if you can give me the answer with working id be really happy. thanks

 

[HallsofIvy]

In a parallelogram opposite angles are congruent (angles P and R) and adjacent angles are supplementary (angle P and Q). sin Q= sin (pi- P).

 

[Alkatran]

Hi, New to this forum.
Im just doing my school certificate (yr10) and need help with 1 question.

PQRS is any parallelogram. If sin P = k, find Sin Q

Probably sounds like a stupid question but heck if you can give me the answer with working id be really happy. thanks

2q + 2p = 360
q + p = 180
q = p-180
k=sin(p)
P=arcsin(k)
q=p-180
q=arcsin(k)-180
sin(q) = sin(arcsin(k)-180)
sin(q) = -sin(arcsin(k))
sin(q) = -k