Converting from Quadrant to Sign in Angle

What is Quadrant (quadrant)

In geometry, a quadrant is one of the four regions created by two perpendicular lines intersecting at a common point, known as the origin. These quadrants are labeled as the first, second, third, and fourth quadrants as you move counterclockwise starting from the positive x-axis.

What is Sign (sign)

In trigonometry, the sign of an angle is determined by its location within a coordinate system. An angle in standard position is said to be positive if it is measured counterclockwise from the positive x-axis, negative if measured clockwise from the positive x-axis, and zero if it lies along the positive x-axis.

Conversion Formulas

The default conversion between quadrant (q) and sign (s) is:

• 1q=3s

• 1s=0.3333333q

Additional conversions include:

• 8q=24s

• 8s=2.666667q

• 5q=15s

• 5s=1.666667q

• 14q=42s

• 14s=4.666667q

Examples

• Example 1: Convert 3 quadrants to signs

  • 3q=3×3=9s

• Example 2: Convert 10 signs to quadrants

  • 10s=10×0.3333333≈3.333333q

Use this page to perform converting from Quadrant to Sign easily.