Questions: Use the unit circle to determine the value of tan 19π. Complete parts (a) through (c) below (a) Given a real number t and the corresponding point P(x, y) on the unit circle, find the unit circle definition of the tangent function choose the correct answer below A. tan t=y B. tan t=x C. tan t=x/y, y ≠ 0 D. tan t=y/x, x ≠ 0

Solution Steps

To solve this problem, we need to understand the unit circle definition of the tangent function. The tangent of an angle \( t \) in the unit circle is defined as the ratio of the y-coordinate to the x-coordinate of the corresponding point on the unit circle.

The tangent of an angle \( t \) in the unit circle is defined as the ratio of the y-coordinate to the x-coordinate of the corresponding point on the unit circle. This can be expressed as: \[ \tan t = \frac{y}{x}, \quad x \neq 0 \]

Final Answer