Trigonometric inverse functions

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The discussion focuses on finding the general solution for the equation sin6x = sin4x - sin2x, which simplifies to sin6x - sin4x + sin2x = 0. Participants emphasize the use of the identity sinP + sinQ = 2sin((P+Q)/2)cos((P-Q)/2) to aid in solving the equation. The conversation explores various methods to manipulate the equation and derive solutions. There is a consensus on the importance of applying trigonometric identities for simplification. The goal is to arrive at a comprehensive solution for the given trigonometric equation.
lizzie
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i want the most general solution for
sin6x=sin4x-sin2x
 
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sin6x=sin4x-sin2x

sin6x-sin4x+sin2x=0

Then remember that

sinP+sinQ=2sin(\frac{P+Q}{2})cos(\frac{P-Q}{2})
 
thanks
 

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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