MHB Trigonometric-Identity Problem (Quick Question)

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The discussion centers on a potential typo regarding the placement of angles in trigonometric identities, questioning whether the quadrant in the orange circle should match the quadrant in the green circle. Participants note that despite the apparent error, the answers remain consistent regardless of whether angle B is in Quadrant I or Quadrant III. However, some argue that the quadrant difference could affect the signs of the answers, leading to different results. The conversation highlights the importance of quadrant placement in trigonometric problems. Overall, clarity on quadrant assignments is crucial for accurate trigonometric calculations.
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Shouldn't the quadrant in the orange circle (or whatever it looks like) match with the quadrant in the green one (i.e., Quadrant I)? Thanks.https://uploads.tapatalk-cdn.com/20180601/f3bb14bdcd0ee44fbf84ed81cf266d40.jpghttps://uploads.tapatalk-cdn.com/20180601/aa252ceb0ebb22a7848051a85b6a9a29.jpg
 
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Yes, it looks like a typo. However the answers are the same whether $B$ is in QI or QIII.
 
Olinguito said:
Yes, it looks like a typo. However the answers are the same whether $B$ is in QI or QIII.
Yes, perhaps that's the case, but wouldn't the answers be different considering the quadrant difference (e.g., the sign switch for the answer in (a))?https://uploads.tapatalk-cdn.com/20180601/a861c1250b3bd26b068231593e477c43.jpghttps://uploads.tapatalk-cdn.com/20180601/a09baa55d2efcec59dbda1570322f355.jpg
 

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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