MHB How to find the answer sin 120.

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Sin 120 degrees is equal to sin 60 degrees because both angles are related through the unit circle. Specifically, sin 120 can be derived from the sine of its reference angle, which is 60 degrees. The value of sin 120 is positive, as it is in the second quadrant where sine values are positive. The misconception that sin 120 equals sin 60 plus sin 60 arises from a misunderstanding of how sine functions work in different quadrants. Understanding the unit circle is essential for clarifying these relationships.
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I was reading on a forum that $$sin120$$ is equal to$$ sin60$$.

How is this? Shouldn't$$ sin120$$ equal $$sin60 + sin60$$?
 
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tmt said:
I was reading on a forum that $$sin120$$ is equal to$$ sin60$$.

How is this? ...

Good evening,

use the unit circle:
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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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