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Let in a right angled triangle, the smal...

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

A

`(sqrt5 +1)/( 4)`

B

`( sqrt2 - 1)/(2)`

C

`(sqrt5 -1)/( 2)`

D

`(sqrt5 -1)/(4)`

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