Angle α is divided into two parts A and B such that A – B = x and tan A: tan B = p : q. The value of sin x is equal to

\(\frac{{\left( {p + q} \right)\sin \alpha }}{{p - q}}\)

\(\frac{{p\sin \alpha }}{{p + q}}\)

\(\frac{{p\sin \alpha }}{{p - q}}\)

\(\frac{{\left( {p - q} \right)\sin \alpha }}{{p + q}}\)

Angle α is divided into two parts A and B such that A – B = x and t

1.	Angle α is divided into two parts A and B such that A – B = x and tan A: tan B = p : q. The value of sin x is equal to
A.	\(\frac{{\left( {p + q} \right)\sin \alpha }}{{p - q}}\)
B.	\(\frac{{p\sin \alpha }}{{p + q}}\)
C.	\(\frac{{p\sin \alpha }}{{p - q}}\)
D.	\(\frac{{\left( {p - q} \right)\sin \alpha }}{{p + q}}\)
Answer» E.