Evaluate the six trig functions by when given one value and constraint

The video tutorial addresses a problem involving the tangent of theta, initially causing confusion due to incorrect notation. The instructor explains the need to consider two possible triangles due to negative values and demonstrates how to represent them on Cartesian coordinates. The correct triangle is chosen based on the constraint that sine is less than zero, which limits the possible quadrants. The instructor then calculates the sine, cosine, and tangent of theta, along with their reciprocal functions, providing a comprehensive understanding of the problem.

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