JEE Math Practice Question

Let in a right angled triangle, the smallest angle be $$\theta$$. If a triangle formed by taking the reciprocal of its sides is also a right angled triangle, then sin$$\theta$$ is equal to :

1. A.$${{\sqrt 5 + 1} \over 4}$$
2. B.$${{\sqrt 5 - 1} \over 2}$$
3. C.$${{\sqrt 2 - 1} \over 2}$$
4. D.$${{\sqrt 5 - 1} \over 4}$$