Question

the angle 270° is in standard position. what axis is its terminal side on?
a. positive x - axis
b. positive y - axis
c. negative x - axis
d. negative y - axis

Explanation:

Step1: Understand standard - position angles

An angle in standard position has its vertex at the origin and its initial side on the positive \(x\) - axis.

Step2: Analyze the rotation

A full - circle rotation is \(360^{\circ}\). A \(90^{\circ}\) rotation counter - clockwise from the positive \(x\) - axis gives the positive \(y\) - axis, a \(180^{\circ}\) rotation gives the negative \(x\) - axis, and a \(270^{\circ}\) rotation counter - clockwise from the positive \(x\) - axis.

When we rotate \(270^{\circ}\) counter - clockwise from the positive \(x\) - axis, the terminal side of the angle \(270^{\circ}\) lies on the negative \(y\) - axis.

Answer:

d. negative y - axis