The Tangent Function - Concept

Concept Concept (1)

In right triangle trigonometry (for acute angles only), the tangent is defined as the ratio of the opposite side to the adjacent side. The unit circle definition is tan(theta)=y/x or tan(theta)=sin(theta)/cos(theta). The tangent function is negative whenever sine or cosine, but not both, are negative: the second and fourth quadrants. Tangent is also equal to the slope of the terminal side.

Sample Sample Problems (2)

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The Tangent Function - Problem 1
Problem 1
How to find values of tan(q) when q=0, pi/6, pi/4, and pi/3.
The Tangent Function - Problem 2
Problem 2
How to find when sine, cosine, and tangent are positive.