Unit Circle Calculator

The Unit Circle Calculator allows users to input an angle in degrees or radians to compute its sine, cosine, tangent, convert between radians and degrees, and determine the corresponding quadrant and coordinates on the unit circle.

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How to Use the Unit Circle Calculator

This Unit Circle Calculator allows you to compute various properties of angles within the context of the unit circle. Follow these steps to use this calculator:

Step 1: Enter the Angle

  • Angle (in degrees): Use the input field labeled “Angle (in degrees)” to enter the angle you wish to calculate. Make sure the angle is within the range of -360 to 360 degrees. Input should be a number and the step value is 1.

Step 2: Select the Angle Type

  • Select Angle Type: Choose the angle type from the dropdown menu. The options available are “Degrees” and “Radians”. Selecting the correct angle type is crucial as it impacts how the calculations are performed.

Step 3: View the Results

Once the angle and angle type are entered, the calculator will automatically compute and display the results.

  • Sine (sin θ): Displays the sine of the angle with up to four decimal points.
  • Cosine (cos θ): Displays the cosine of the angle with up to four decimal points.
  • Tangent (tan θ): Shows the tangent of the angle with up to four decimal points.
  • X-Coordinate: The x-coordinate of the point on the unit circle corresponding to the angle, same as the cosine value.
  • Y-Coordinate: The y-coordinate of the point on the unit circle corresponding to the angle, same as the sine value.
  • Angle in Radians: Converts and displays the angle in radians if it was entered in degrees or uses the entered value if the angle type was radians. The result is displayed to four decimal places with the suffix ” rad”.
  • Angle in Degrees: Converts and displays the angle in degrees if it was entered in radians or uses the entered value if the angle type was degrees. The result is formatted with two decimal places and a “°” suffix.
  • Quadrant: Determines in which quadrant of the unit circle (1 to 4) the angle lies. Positive angles are adjusted to fall within the standard 0 to 360-degree rotation.

These results provide comprehensive insights into the angular geometry of the unit circle, enabling educational and practical applications in trigonometry.