In triangle $ABC, AB = AC = x, ∠ABC = \theta$ and the circumradius is equal to $y$. Then $\frac{x}{y}$ equals

Question and options

In triangle

ABC, AB = AC = x, ∠ABC = \theta

and the circumradius is equal to

y

. Then

\frac{x}{y}

equals

Correct answer: D - $2 \sin \theta$

Angle C = theta (isosceles). By the sine rule, AB = 2R sin C, so x = 2y sin(theta) and x/y = 2 sin(theta).