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## Homework Statement

Solve for n:

2n.Cos^2(n)=1000

## The Attempt at a Solution

So, I think there's a substitution involved here. I tried to rearrange cosine in terms of sine to make it into a quadratic but that didn't work. I've gone through all the table trig identities. I've had other ideas but it's all come to bubkiss. Wolfram equation solver spat out a solution for n but that's not really the point...

Can anybody shed any light on this?