Questions: Trazar θ=π/3 en posición estándar.

Transcript text: Trazar $\theta=\frac{\pi}{3}$ en posición estándar.

Solution

Solution Steps

Step 1: Understand the Problem

The problem asks to plot the angle θ = π/3 in standard position on the unit circle.

Step 2: Identify the Standard Position

In standard position, the initial side of the angle is along the positive x-axis, and the angle is measured counterclockwise from the positive x-axis.

Step 3: Determine the Angle in Degrees

Convert the angle from radians to degrees if necessary. For θ = π/3: \[ \theta = \frac{\pi}{3} \times \frac{180^\circ}{\pi} = 60^\circ \]

Step 4: Plot the Angle on the Unit Circle

Starting from the positive x-axis, measure 60 degrees counterclockwise. The terminal side of the angle will intersect the unit circle at the point corresponding to 60 degrees.

Final Answer

The angle θ = π/3 (or 60 degrees) in standard position is plotted on the unit circle with the terminal side intersecting the circle at the point corresponding to 60 degrees counterclockwise from the positive x-axis.

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