Evaluating the Tangent Function - Concept

Concept Concept (1)

When evaluating the tangent function, to find values of the tangent function at different angles, we first identify the reference angle formed by the terminal side and the x-axis. Then, we find the tangent of this reference angle and, based on which quadrant the terminal side is in, decide if tangent is positive or negative. Tangent is positive in the first and third quadrants, where both sine and cosine are positive and both are negative.

Sample Sample Problems (2)

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Evaluating the Tangent Function - Problem 1
Problem 1
How to evaluate the tangent of 4*pi/3.
Evaluating the Tangent Function - Problem 2
Problem 2
How to evaluate the tangent of -pi/6.