Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

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. To calculate them: Divide the length of one side by another side

Play around with the angle A with slider below and see how the lines and trig values change. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Dec 2, 2024 · Trigonometric functions explore the relationships between the sides and angles of right triangles, featuring six key ratios: sine, cosine, tangent, and their reciprocals, with distinct properties and graphs.

Trigonometry can find that missing angle and distance. Questions like these are common in engineering, computer animation and more. And trigonometry gives the answers! The main functions in trigonometry are Sine, Cosine and Tangent. They are simply one side of a right-angled triangle divided by another. For any angle " θ ":

Explains the relationships between the trigonometric ratios for the sine and cosine, their functions, and the functions' horizontal versus circular graphs.

In fact Sine and Cosine are like good friends: they follow each other, exactly π /2 radians (90°) apart. The Tangent function has a completely different shape ... it goes between negative and positive Infinity, crossing through 0, and at every π radians (180°), as shown on this plot.

We have seen how to determine the values of trigonometric functions for angles terminating in Quadrants II, III, and IV. This allows us to make a graph of the values of the sine function for any angle.

What is a Radian? What are Cofunctions?