Math Problem Statement

Draw the angle in standard position. 30 degrees

Solution

Here is the diagram illustrating a 30-degree angle in standard position. The angle is measured counterclockwise from the positive x-axis.

Would you like more details or have any questions?

Here are five related questions to expand on this topic:

  1. How do you convert 30 degrees to radians?
  2. What is the reference angle for a 150-degree angle?
  3. Can you explain how to find the sine and cosine of a 30-degree angle?
  4. What does an angle of -30 degrees look like in standard position?
  5. How do you determine the quadrant of a given angle?

Tip: The sine and cosine of 30 degrees are commonly used values: sin(30)=12\sin(30^\circ) = \frac{1}{2} and cos(30)=32\cos(30^\circ) = \frac{\sqrt{3}}{2}.

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Angles in Standard Position

Formulas

Degrees to Radians Conversion: radians = degrees × (π/180)

Theorems

Angle in Standard Position
Unit Circle

Suitable Grade Level

Grades 9-12