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.

Short answer

The solution is standard position .

Step-by-step solution

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.