Q. 3 - Precalculus Enhanced with Graphing Utilities

Question

An angle $\theta$ is in ________  _________ if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive x-axis.

Step-by-Step Solution

Answer

The solution is standard position .

Step 1. Given information

The vertex of an angle $\theta$ is at the origin of a rectangular coordinate system

Step 2. Calculation

An angle $\theta$ is in standard position if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive x-axis. When an angle $\theta$ is in standard position, the terminal side will lie either in a quadrant, in which case we say that $\theta$ lies in that quadrant or the terminal side will lie on the x-axis or the y-axis in which case we say that $\theta$ is a quadrant angle.