MHB How Do You Master Plotting and Sketching Sine Functions?

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Mastering plotting and sketching sine functions involves understanding the key points of the sine wave, including its amplitude, period, and phase shift. To effectively plot the sine function, one should identify critical points such as the maximum, minimum, and intercepts. Proper graphing techniques include using a coordinate system and accurately marking these points before connecting them smoothly. Additionally, sharing problems in a clear format, such as using LaTeX or images, can enhance understanding and facilitate better assistance. Clear communication of the problem is essential for effective help in mastering sine functions.
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Can anyone help me with this? I've been trying to figure it out but no luck. Where do I plot the points and how do I sketch the graph?

2dqke3s.jpg


All help is greatly appreciated!
 
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Your link is bad, at least for me. Any chance you could type out the problem using $\LaTeX$? Or could you scan a page in and post it?
 
This problem was posted at another site with a good link, so I uploaded it to tinypic and edited the post to use the IMG tags.
 

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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