Find the Integer N, solution attached

[chassiz]

Homework Statement

The expression sin(2°) sin(4°) sin(6°)... sin(90°) is equal to a number of the form (n√5)/2^50
where "n" is an integer. Find n

Homework Equations

geometric sum: a/ 1-r

The Attempt at a Solution

I found the solution online but have no idea how they got it... been going back and forth trying to figure it out on my own but I don't understand. Any help would be appreciated everyone. Thanks!

 

[Simon Bridge]

Never mind the online solution
How would you go about finding the answer?
You need to be able to use the geometric sum stuff - so you need to be able to change the product of sines into a sum of something - there are not many different ways to do this.