MHB Deriving expressions using double angle formula?

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The discussion centers on using the double angle identity to derive the expression cos^6(u). Participants seek clarification on the specific expression intended for derivation, as there is some confusion regarding the notation. The need for a complete question is emphasized to provide accurate assistance. The conversation highlights the importance of clear communication in mathematical discussions. Overall, the focus remains on applying the double angle formula effectively.
kjeanch
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How do I use the double angle identity in order to derive this expression: cos6(u)?
 
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I am assuming you mean:

$$\cos^6(u)$$

However, I'm not sure what you mean by deriving it. Can you post the question in its entirety?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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