Question

sketch \\( \theta = - \frac { \pi } { 6 } \\) in standard position.

Explanation:

Step1: Understand standard position

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

Step2: Analyze the given angle \(\theta=-\frac{\pi}{6}\)

Negative angles are measured clockwise. \(\frac{\pi}{6}\) is \(30^{\circ}\). So, starting from the positive \(x\) - axis, rotate \(30^{\circ}\) (or \(\frac{\pi}{6}\) radians) clockwise.

Answer:

Sketch an angle with vertex at the origin, initial side on the positive \(x\) - axis, and rotate \(30^{\circ}\) (or \(\frac{\pi}{6}\) radians) clockwise.