What is a Unit Circle Calculator?
The Unit Circle Calculator is a tool that provides the sine, cosine, and tangent values for any given angle. It uses trigonometric functions derived from the unit circle, where the circle has a radius of 1 unit.
Formula: For an angle θ, the coordinates (x, y) on the unit circle are given as:
x = cos(θ), y = sin(θ). Tangent is derived as tan(θ) = sin(θ) / cos(θ).
How to Use: Enter the angle in degrees or radians, and the calculator will provide the sine, cosine, and tangent values. The results are displayed instantly with a detailed solution.
Unit Circle Calculator
FAQs
What is the Unit Circle Calculator?
The Unit Circle Calculator is a mathematical tool used to find sine, cosine, and tangent values of angles based on the unit circle in trigonometry. It's essential for understanding angle relationships and their trigonometric functions.
What is the formula for the unit circle?
The unit circle formula is based on the equation of a circle, x² + y² = 1, and trigonometric functions are derived as sin(θ) = y, cos(θ) = x, and tan(θ) = y/x.