Points are taken on the side of a triangle such that

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Points

D,E

are taken on the side

BC

of a triangle

ABC

such that

BD=DE=EC

. If

\angle BAD=x

\angle DAE=y

, and

\angle EAC=z

, then the value of

\frac{\sin(x+y)\sin(y+z)}{\sin x\sin z}

is equal to (1)

1

(2)

2

(3)

4

(4) None of these