Question 18
Suppose
$$\cos x-\cos y=\frac12,\qquad\sin x-\sin y=-\frac13.$$
If $\sin(x+y)=\dfrac mn$, where $\dfrac mn$ is expressed as a fraction in its lowest terms, find the value of $m+n$.
$$\cos x-\cos y=\frac12,\qquad\sin x-\sin y=-\frac13.$$
If $\sin(x+y)=\dfrac mn$, where $\dfrac mn$ is expressed as a fraction in its lowest terms, find the value of $m+n$.