Evaluate the double angle of sine from a triangle

The video tutorial explains how to determine the quadrant for a given angle theta, specifically between π and 3π/2, and how to correctly draw the triangle in the third quadrant. It discusses the concept of Pythagorean triples, using a 3-4-5 triangle as an example, and explains how to calculate the sine of a double angle using the formula 2sin(u)cos(u). The tutorial emphasizes understanding the signs of trigonometric functions in different quadrants and provides a step-by-step calculation of the sine of double theta.

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