The unit circle with tangent gives the values of the tangent function (which is usually referred to as "tan") for different standard angles from 0° to 360°. Usually, the general unit circle gives the values of sin (sine function) and cos (cosine function).

Sine, Cosine and Tangent (often shortened to sin, cos and tan) are each a ratio of sides of a right angled triangle: For a given angle θ each ratio stays the same no matter how big or small the triangle is

Play with the interactive Unit Circle below. See how different angles (in radians or degrees) affect sine, cosine and tangent: Can you find an angle where sine and cosine are equal? The "sides" can be positive or negative according to the rules of Cartesian coordinates.

Tangent. Tangent, written as tan⁡(θ), is one of the six fundamental trigonometric functions. Tangent definition. Tangent, like other trigonometric functions, is typically defined in terms of right triangles and in terms of the unit circle. The right-angled triangle definition of trigonometric functions is most often how they are introduced ...

2024年7月1日 · Easily find unit circle coordinates for sine, cos, and tan with our dynamic unit circle calculator. Simplify trigonometry now!

2025年2月11日 · Tangent. The tangent function relates sine and cosine: \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} Reciprocal Functions. Other functions include cosecant, secant, and cotangent: \csc(\theta) = \frac{1}{\sin(\theta)} \sec(\theta) = \frac{1}{\cos(\theta)} \cot(\theta) = \frac{1}{\tan(\theta)} Cheat Sheet: Unit Circle Values

Get a deep understanding of sine, cosine, and tangent with this easy-to-follow guide. Learn how to find these values using the Unit Circle and other methods, with plenty of examples and exercises to help you master trigonometry.

2021年9月5日 · Understand unit circle, reference angle, terminal side, standard position. Find the exact trigonometric function values for angles that measure \(30^{\circ}\), \(45^{\circ}\), and \(60^{\circ}\) using the unit circle.

Using the unit circle, the sine of an angle \(t\) equals the \(y\)-value of the endpoint on the unit circle of an arc of length \(t\) whereas the cosine of an angle \(t\) equals the \(x\)-value of the endpoint. The sine and cosine values are most directly determined when the corresponding point on the unit circle falls on an axis.

how to define the tangent function using the unit circle, how to transform the graph of tangent functions, examples and step by step solutions, A series of free High School Trigonometry Video Lessons, how to graph the Tangent function on the coordinate plane using the unit circle, how to determine the domain and range of the tangent function ...